102131133120320 has 112 divisors (see below), whose sum is σ = 258484741498368. Its totient is φ = 38303171911680.

The previous prime is 102131133120277. The next prime is 102131133120323. The reversal of 102131133120320 is 23021331131201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131133120323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34261496 + ... + 37122935.

It is an arithmetic number, because the mean of its divisors is an integer number (2307899477664).

Almost surely, 2^{102131133120320} is an apocalyptic number.

102131133120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102131133120320 is an abundant number, since it is smaller than the sum of its proper divisors (156353608378048).

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

102131133120320 is a wasteful number, since it uses less digits than its factorization.

102131133120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71384728 (or 71384718 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102131133120320 its reverse (23021331131201), we get a palindrome (125152464251521).

The spelling of 102131133120320 in words is "one hundred two trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred twenty thousand, three hundred twenty".