102000131013000 has 256 divisors, whose sum is σ = 359142784416000. Its totient is φ = 23874638592000.

The previous prime is 102000131012993. The next prime is 102000131013073. The reversal of 102000131013000 is 310131000201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52334605 + ... + 54248604.

It is an arithmetic number, because the mean of its divisors is an integer number (1402901501625).

Almost surely, 2^{102000131013000} is an apocalyptic number.

102000131013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000131013000 is an abundant number, since it is smaller than the sum of its proper divisors (257142653403000).

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

102000131013000 is a wasteful number, since it uses less digits than its factorization.

102000131013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106583273 (or 106583259 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 102000131013000 its reverse (310131000201), we get a palindrome (102310262013201).

The spelling of 102000131013000 in words is "one hundred two trillion, one hundred thirty-one million, thirteen thousand".