102431312320311 has 48 divisors (see below), whose sum is σ = 168086042342400. Its totient is φ = 59588061293376.

The previous prime is 102431312320283. The next prime is 102431312320327. The reversal of 102431312320311 is 113023213134201.

102431312320311 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 1 + 312 + 32 + 0 + 311 = 666.

It is not a de Polignac number, because 102431312320311 - 2³³ = 102422722385719 is a prime.

It is a super-2 number, since 2×102431312320311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102431312328311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48730971 + ... + 50789468.

It is an arithmetic number, because the mean of its divisors is an integer number (3501792548800).

Almost surely, 2^{102431312320311} is an apocalyptic number.

102431312320311 is a deficient number, since it is larger than the sum of its proper divisors (65654730022089).

102431312320311 is a wasteful number, since it uses less digits than its factorization.

102431312320311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99520940 (or 99520937 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 102431312320311 its reverse (113023213134201), we get a palindrome (215454525454512).

The spelling of 102431312320311 in words is "one hundred two trillion, four hundred thirty-one billion, three hundred twelve million, three hundred twenty thousand, three hundred eleven".