1013120212113 has 64 divisors (see below), whose sum is σ = 1583814912000. Its totient is φ = 638288278848.

The previous prime is 1013120212109. The next prime is 1013120212133. The reversal of 1013120212113 is 3112120213101.

It is not a de Polignac number, because 1013120212113 - 2² = 1013120212109 is a prime.

It is a super-2 number, since 2×1013120212113² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013120212133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566304423 + ... + 566306211.

It is an arithmetic number, because the mean of its divisors is an integer number (24747108000).

Almost surely, 2^{1013120212113} is an apocalyptic number.

It is an amenable number.

1013120212113 is a deficient number, since it is larger than the sum of its proper divisors (570694699887).

1013120212113 is a wasteful number, since it uses less digits than its factorization.

1013120212113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1013120212113 its reverse (3112120213101), we get a palindrome (4125240425214).

The spelling of 1013120212113 in words is "one trillion, thirteen billion, one hundred twenty million, two hundred twelve thousand, one hundred thirteen".