1013110313131 has 8 divisors (see below), whose sum is σ = 1179686402784. Its totient is φ = 851995734720.

The previous prime is 1013110313099. The next prime is 1013110313143. The reversal of 1013110313131 is 1313130113101.

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 1013110313131 - 2⁵ = 1013110313099 is a prime.

It is a super-2 number, since 2×1013110313131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013110313099 and 1013110313108.

It is not an unprimeable number, because it can be changed into a prime (1013110319131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1365377410 + ... + 1365378151.

It is an arithmetic number, because the mean of its divisors is an integer number (147460800348).

Almost surely, 2^{1013110313131} is an apocalyptic number.

1013110313131 is a deficient number, since it is larger than the sum of its proper divisors (166576089653).

1013110313131 is an equidigital number, since it uses as much as digits as its factorization.

1013110313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730755621.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 1013110313131 its reverse (1313130113101), we get a palindrome (2326240426232).

The spelling of 1013110313131 in words is "one trillion, thirteen billion, one hundred ten million, three hundred thirteen thousand, one hundred thirty-one".