102132031311 has 24 divisors (see below), whose sum is σ = 155358468720. Its totient is φ = 64475364096.

The previous prime is 102132031297. The next prime is 102132031409. The reversal of 102132031311 is 113130231201.

102132031311 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 320 + 31 + 311 = 666.

It is not a de Polignac number, because 102132031311 - 2¹⁵ = 102131998543 is a prime.

It is a super-2 number, since 2×102132031311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132031411) 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 23 ways as a sum of consecutive naturals, for example, 249031 + ... + 516023.

It is an arithmetic number, because the mean of its divisors is an integer number (6473269530).

Almost surely, 2^102132031311 is an apocalyptic number.

102132031311 is a deficient number, since it is larger than the sum of its proper divisors (53226437409).

102132031311 is a wasteful number, since it uses less digits than its factorization.

102132031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269255 (or 269252 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102132031311 its reverse (113130231201), we get a palindrome (215262262512).

The spelling of 102132031311 in words is "one hundred two billion, one hundred thirty-two million, thirty-one thousand, three hundred eleven".