102000131313023 has 16 divisors (see below), whose sum is σ = 104035369822560. Its totient is φ = 99969007896576.

The previous prime is 102000131313001. The next prime is 102000131313037. The reversal of 102000131313023 is 320313131000201.

It is a cyclic number.

It is not a de Polignac number, because 102000131313023 - 2³⁰ = 101999057571199 is a prime.

It is a super-2 number, since 2×102000131313023² (a number of 29 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 = 102000131312986 and 102000131313004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000131313523) 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, 807813911 + ... + 807940167.

It is an arithmetic number, because the mean of its divisors is an integer number (6502210613910).

Almost surely, 2^{102000131313023} is an apocalyptic number.

102000131313023 is a deficient number, since it is larger than the sum of its proper divisors (2035238509537).

102000131313023 is a wasteful number, since it uses less digits than its factorization.

102000131313023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142426.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102000131313023 its reverse (320313131000201), we get a palindrome (422313262313224).

The spelling of 102000131313023 in words is "one hundred two trillion, one hundred thirty-one million, three hundred thirteen thousand, twenty-three".