10320013013100 has 144 divisors (see below), whose sum is σ = 34126486265088. Its totient is φ = 2358746530560.

The previous prime is 10320013013087. The next prime is 10320013013113. The reversal of 10320013013100 is 131031002301.

It is an interprime number because it is at equal distance from previous prime (10320013013087) and next prime (10320013013113).

It is a super-2 number, since 2×10320013013100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10320013013100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48199482 + ... + 48413118.

It is an arithmetic number, because the mean of its divisors is an integer number (236989487952).

Almost surely, 2^{10320013013100} is an apocalyptic number.

10320013013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320013013100 is an abundant number, since it is smaller than the sum of its proper divisors (23806473251988).

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

10320013013100 is a wasteful number, since it uses less digits than its factorization.

10320013013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236664 (or 236657 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10320013013100 its reverse (131031002301), we get a palindrome (10451044015401).

The spelling of 10320013013100 in words is "ten trillion, three hundred twenty billion, thirteen million, thirteen thousand, one hundred".