102000311233131 has 32 divisors (see below), whose sum is σ = 139937412480768. Its totient is φ = 66038623056000.

The previous prime is 102000311233129. The next prime is 102000311233159. The reversal of 102000311233131 is 131332113000201.

It is a happy number.

It is not a de Polignac number, because 102000311233131 - 2¹ = 102000311233129 is a prime.

It is a super-2 number, since 2×102000311233131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102000311233098 and 102000311233107.

It is not an unprimeable number, because it can be changed into a prime (102000311233531) 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 31 ways as a sum of consecutive naturals, for example, 399480256 + ... + 399735506.

It is an arithmetic number, because the mean of its divisors is an integer number (4373044140024).

Almost surely, 2^{102000311233131} is an apocalyptic number.

102000311233131 is a deficient number, since it is larger than the sum of its proper divisors (37937101247637).

102000311233131 is a wasteful number, since it uses less digits than its factorization.

102000311233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262011.

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

Adding to 102000311233131 its reverse (131332113000201), we get a palindrome (233332424233332).

The spelling of 102000311233131 in words is "one hundred two trillion, three hundred eleven million, two hundred thirty-three thousand, one hundred thirty-one".