102130313000 has 128 divisors (see below), whose sum is σ = 240638580000. Its totient is φ = 40570675200.

The previous prime is 102130312997. The next prime is 102130313069. The reversal of 102130313000 is 313031201.

It can be written as a sum of positive squares in 16 ways, for example, as 1022848324 + 101107464676 = 31982^2 + 317974^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123196586 + ... + 123197414.

Almost surely, 2^102130313000 is an apocalyptic number.

102130313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120319290000).

102130313000 is an abundant number, since it is smaller than the sum of its proper divisors (138508267000).

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

102130313000 is a wasteful number, since it uses less digits than its factorization.

102130313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 102130313000 its reverse (313031201), we get a palindrome (102443344201).

The spelling of 102130313000 in words is "one hundred two billion, one hundred thirty million, three hundred thirteen thousand".