102013311233031 has 32 divisors (see below), whose sum is σ = 151270527663360. Its totient is φ = 60624467654400.

The previous prime is 102013311232997. The next prime is 102013311233051. The reversal of 102013311233031 is 130332113310201.

It is not a de Polignac number, because 102013311233031 - 2⁹ = 102013311232519 is a prime.

It is a super-2 number, since 2×102013311233031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102013311232992 and 102013311233010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013311233051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13935541 + ... + 19955598.

It is an arithmetic number, because the mean of its divisors is an integer number (4727203989480).

Almost surely, 2^{102013311233031} is an apocalyptic number.

102013311233031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102013311233031 is a deficient number, since it is larger than the sum of its proper divisors (49257216430329).

102013311233031 is a wasteful number, since it uses less digits than its factorization.

102013311233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33892927.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 102013311233031 its reverse (130332113310201), we get a palindrome (232345424543232).

The spelling of 102013311233031 in words is "one hundred two trillion, thirteen billion, three hundred eleven million, two hundred thirty-three thousand, thirty-one".