1013312010013 has 8 divisors (see below), whose sum is σ = 1020048981120. Its totient is φ = 1006575385200.

The previous prime is 1013312009989. The next prime is 1013312010023. The reversal of 1013312010013 is 3100102133101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1013312010013 - 2⁵ = 1013312009981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013312010023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8810643 + ... + 8924911.

It is an arithmetic number, because the mean of its divisors is an integer number (127506122640).

Almost surely, 2^{1013312010013} is an apocalyptic number.

It is an amenable number.

1013312010013 is a deficient number, since it is larger than the sum of its proper divisors (6736971107).

1013312010013 is a wasteful number, since it uses less digits than its factorization.

1013312010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173147.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1013312010013 its reverse (3100102133101), we get a palindrome (4113414143114).

The spelling of 1013312010013 in words is "one trillion, thirteen billion, three hundred twelve million, ten thousand, thirteen".