1013123233031 has 16 divisors (see below), whose sum is σ = 1247782792704. Its totient is φ = 801037936224.

The previous prime is 1013123233021. The next prime is 1013123233063. The reversal of 1013123233031 is 1303323213101.

It is a cyclic number.

It is not a de Polignac number, because 1013123233031 - 2³⁴ = 995943363847 is a prime.

It is a super-2 number, since 2×1013123233031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013123232988 and 1013123233006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013123233021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3715325 + ... + 3978678.

It is an arithmetic number, because the mean of its divisors is an integer number (77986424544).

Almost surely, 2^{1013123233031} is an apocalyptic number.

1013123233031 is a deficient number, since it is larger than the sum of its proper divisors (234659559673).

1013123233031 is a wasteful number, since it uses less digits than its factorization.

1013123233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695470.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1013123233031 its reverse (1303323213101), we get a palindrome (2316446446132).

The spelling of 1013123233031 in words is "one trillion, thirteen billion, one hundred twenty-three million, two hundred thirty-three thousand, thirty-one".