13032113031000 has 256 divisors, whose sum is σ = 51631991424000. Its totient is φ = 2978768649600.

The previous prime is 13032113030939. The next prime is 13032113031023. The reversal of 13032113031000 is 13031123031.

It is a happy number.

13032113031000 is a `hidden beast` number, since 1 + 3 + 0 + 321 + 1 + 30 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×13032113031000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

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, 34287490 + ... + 34665489.

It is an arithmetic number, because the mean of its divisors is an integer number (201687466500).

Almost surely, 2^{13032113031000} is an apocalyptic number.

13032113031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13032113031000 is an abundant number, since it is smaller than the sum of its proper divisors (38599878393000).

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

13032113031000 is a wasteful number, since it uses less digits than its factorization.

13032113031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68953016 (or 68952996 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13032113031000 its reverse (13031123031), we get a palindrome (13045144154031).

The spelling of 13032113031000 in words is "thirteen trillion, thirty-two billion, one hundred thirteen million, thirty-one thousand".