1013313113131 has 8 divisors (see below), whose sum is σ = 1105561173744. Its totient is φ = 921086500320.

The previous prime is 1013313113117. The next prime is 1013313113213. The reversal of 1013313113131 is 1313113133101.

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 1013313113131 - 2¹⁵ = 1013313080363 is a prime.

It is a super-2 number, since 2×1013313113131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013313113101) 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, 5263080 + ... + 5452213.

It is an arithmetic number, because the mean of its divisors is an integer number (138195146718).

Almost surely, 2^{1013313113131} is an apocalyptic number.

1013313113131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013313113131 is a deficient number, since it is larger than the sum of its proper divisors (92248060613).

1013313113131 is a wasteful number, since it uses less digits than its factorization.

1013313113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10723901.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 1013313113131 its reverse (1313113133101), we get a palindrome (2326426246232).

The spelling of 1013313113131 in words is "one trillion, thirteen billion, three hundred thirteen million, one hundred thirteen thousand, one hundred thirty-one".