10032113131320 has 1024 divisors, whose sum is σ = 37955174400000. Its totient is φ = 2113535047680.

The previous prime is 10032113131307. The next prime is 10032113131351. The reversal of 10032113131320 is 2313131123001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7020372366 + ... + 7020373794.

It is an arithmetic number, because the mean of its divisors is an integer number (37065600000).

Almost surely, 2^{10032113131320} is an apocalyptic number.

10032113131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032113131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18977587200000).

10032113131320 is an abundant number, since it is smaller than the sum of its proper divisors (27923061268680).

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

10032113131320 is a wasteful number, since it uses less digits than its factorization.

10032113131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10032113131320 its reverse (2313131123001), we get a palindrome (12345244254321).

The spelling of 10032113131320 in words is "ten trillion, thirty-two billion, one hundred thirteen million, one hundred thirty-one thousand, three hundred twenty".