10031102013200 has 60 divisors (see below), whose sum is σ = 24100036944228. Its totient is φ = 4012388467200.

The previous prime is 10031102013167. The next prime is 10031102013217. The reversal of 10031102013200 is 231020113001.

It can be written as a sum of positive squares in 6 ways, for example, as 1490469839104 + 8540632174096 = 1220848^2 + 2922436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48958970 + ... + 49163430.

Almost surely, 2^{10031102013200} is an apocalyptic number.

10031102013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031102013200 is an abundant number, since it is smaller than the sum of its proper divisors (14068934931028).

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

10031102013200 is a wasteful number, since it uses less digits than its factorization.

10031102013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327132 (or 327121 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10031102013200 its reverse (231020113001), we get a palindrome (10262122126201).

The spelling of 10031102013200 in words is "ten trillion, thirty-one billion, one hundred two million, thirteen thousand, two hundred".