13101616 has 20 divisors (see below), whose sum is σ = 27692424. Its totient is φ = 5955200.

The previous prime is 13101607. The next prime is 13101617. The reversal of 13101616 is 61610131.

13101616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13101616² = 343304683622912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101593 and 13101602.

It is not an unprimeable number, because it can be changed into a prime (13101617) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37045 + ... + 37396.

Almost surely, 2^13101616 is an apocalyptic number.

13101616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13101616 is an abundant number, since it is smaller than the sum of its proper divisors (14590808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13101616 is a wasteful number, since it uses less digits than its factorization.

13101616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74460 (or 74454 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 13101616 is about 3619.6154491879. The cubic root of 13101616 is about 235.7445286833.

Adding to 13101616 its reverse (61610131), we get a palindrome (74711747).

It can be divided in two parts, 1310 and 1616, that added together give a triangular number (2926 = T₇₆).

The spelling of 13101616 in words is "thirteen million, one hundred one thousand, six hundred sixteen".