1312013013 has 16 divisors (see below), whose sum is σ = 1780290816. Its totient is φ = 859299840.

The previous prime is 1312012987. The next prime is 1312013051. The reversal of 1312013013 is 3103102131.

It is not a de Polignac number, because 1312013013 - 2¹⁰ = 1312011989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312012983 and 1312013001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312013113) 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, 44628 + ... + 67938.

It is an arithmetic number, because the mean of its divisors is an integer number (111268176).

Almost surely, 2^1312013013 is an apocalyptic number.

It is an amenable number.

1312013013 is a deficient number, since it is larger than the sum of its proper divisors (468277803).

1312013013 is a wasteful number, since it uses less digits than its factorization.

1312013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23644.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1312013013 is about 36221.7201827854. The cubic root of 1312013013 is about 1094.7443543230.

Adding to 1312013013 its reverse (3103102131), we get a palindrome (4415115144).

The spelling of 1312013013 in words is "one billion, three hundred twelve million, thirteen thousand, thirteen".