102003313112031 has 64 divisors (see below), whose sum is σ = 152658241228800. Its totient is φ = 60204171456000.

The previous prime is 102003313112009. The next prime is 102003313112087. The reversal of 102003313112031 is 130211313300201.

It is a happy number.

It is not a de Polignac number, because 102003313112031 - 2¹⁵ = 102003313079263 is a prime.

It is a super-2 number, since 2×102003313112031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102003313111989 and 102003313112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003313112731) 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, 318669136 + ... + 318989066.

It is an arithmetic number, because the mean of its divisors is an integer number (2385285019200).

Almost surely, 2^{102003313112031} is an apocalyptic number.

102003313112031 is a deficient number, since it is larger than the sum of its proper divisors (50654928116769).

102003313112031 is a wasteful number, since it uses less digits than its factorization.

102003313112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322300.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 102003313112031 its reverse (130211313300201), we get a palindrome (232214626412232).

The spelling of 102003313112031 in words is "one hundred two trillion, three billion, three hundred thirteen million, one hundred twelve thousand, thirty-one".