102131132301000 has 384 divisors, whose sum is σ = 386763334738560. Its totient is φ = 24089897664000.

The previous prime is 102131132300959. The next prime is 102131132301007. The reversal of 102131132301000 is 103231131201.

Added to its reverse (103231131201) it gives a square (102234363432201 = 10111101²).

102131132301000 is a `hidden beast` number, since 1 + 0 + 21 + 311 + 3 + 230 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102131132301007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10277914 + ... + 17603913.

It is an arithmetic number, because the mean of its divisors is an integer number (1007196184215).

Almost surely, 2^{102131132301000} is an apocalyptic number.

102131132301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102131132301000 is an abundant number, since it is smaller than the sum of its proper divisors (284632202437560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102131132301000 is a wasteful number, since it uses less digits than its factorization.

102131132301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27881902 (or 27881885 counting only the distinct ones).

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

Adding to 102131132301000 its reverse (103231131201), we get a palindrome (102234363432201).

The spelling of 102131132301000 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred one thousand".