10013013121320 has 96 divisors (see below), whose sum is σ = 35500682898720. Its totient is φ = 2427397119360.

The previous prime is 10013013121261. The next prime is 10013013121337. The reversal of 10013013121320 is 2312131031001.

10013013121320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 30 + 1 + 312 + 1 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10013013121293 and 10013013121302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1264265374 + ... + 1264273293.

It is an arithmetic number, because the mean of its divisors is an integer number (369798780195).

Almost surely, 2^{10013013121320} is an apocalyptic number.

10013013121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013013121320 is an abundant number, since it is smaller than the sum of its proper divisors (25487669777400).

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

10013013121320 is a wasteful number, since it uses less digits than its factorization.

10013013121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528538695 (or 2528538688 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10013013121320 its reverse (2312131031001), we get a palindrome (12325144152321).

The spelling of 10013013121320 in words is "ten trillion, thirteen billion, thirteen million, one hundred twenty-one thousand, three hundred twenty".