1311012006 has 32 divisors (see below), whose sum is σ = 2739640320. Its totient is φ = 417451584.

The previous prime is 1311011971. The next prime is 1311012007. The reversal of 1311012006 is 6002101131.

It is a super-2 number, since 2×1311012006² = 3437504959752288072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105771 + ... + 117513.

It is an arithmetic number, because the mean of its divisors is an integer number (85613760).

Almost surely, 2^1311012006 is an apocalyptic number.

1311012006 is an abundant number, since it is smaller than the sum of its proper divisors (1428628314).

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

1311012006 is a wasteful number, since it uses less digits than its factorization.

1311012006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12580.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1311012006 is about 36207.8997733920. The cubic root of 1311012006 is about 1094.4658698966.

Adding to 1311012006 its reverse (6002101131), we get a palindrome (7313113137).

The spelling of 1311012006 in words is "one billion, three hundred eleven million, twelve thousand, six".