101314213 has 48 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 68947200.

The previous prime is 101314193. The next prime is 101314223. The reversal of 101314213 is 312413101.

It is not a de Polignac number, because 101314213 - 2²¹ = 99217061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101314223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132753 + ... + 133513.

It is an arithmetic number, because the mean of its divisors is an integer number (3040380).

Almost surely, 2^101314213 is an apocalyptic number.

101314213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101314213 is a deficient number, since it is larger than the sum of its proper divisors (44624027).

101314213 is a wasteful number, since it uses less digits than its factorization.

101314213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 101314213 is about 10065.4961626340. The cubic root of 101314213 is about 466.1833857973.

Adding to 101314213 its reverse (312413101), we get a palindrome (413727314).

The spelling of 101314213 in words is "one hundred one million, three hundred fourteen thousand, two hundred thirteen".