102323301013000 has 256 divisors, whose sum is σ = 244660036420800. Its totient is φ = 40041068953600.

The previous prime is 102323301012983. The next prime is 102323301013013. The reversal of 102323301013000 is 310103323201.

It can be written as a sum of positive squares in 32 ways, for example, as 1707114712356 + 100616186300644 = 1306566^2 + 10030762^2 .

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, 37494795636 + ... + 37494798364.

Almost surely, 2^{102323301013000} is an apocalyptic number.

102323301013000 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 102323301013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122330018210400).

102323301013000 is an abundant number, since it is smaller than the sum of its proper divisors (142336735407800).

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

102323301013000 is a wasteful number, since it uses less digits than its factorization.

102323301013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 102323301013000 its reverse (310103323201), we get a palindrome (102633404336201).

The spelling of 102323301013000 in words is "one hundred two trillion, three hundred twenty-three billion, three hundred one million, thirteen thousand".