10345518313900 has 72 divisors (see below), whose sum is σ = 27989329568256. Its totient is φ = 3224577134400.

The previous prime is 10345518313873. The next prime is 10345518313931. The reversal of 10345518313900 is 931381554301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671779204 + ... + 671794603.

It is an arithmetic number, because the mean of its divisors is an integer number (388740688448).

Almost surely, 2^{10345518313900} is an apocalyptic number.

10345518313900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10345518313900 is an abundant number, since it is smaller than the sum of its proper divisors (17643811254356).

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

10345518313900 is a wasteful number, since it uses less digits than its factorization.

10345518313900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343573839 (or 1343573832 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 10345518313900 in words is "ten trillion, three hundred forty-five billion, five hundred eighteen million, three hundred thirteen thousand, nine hundred".