10032113131331 has 8 divisors (see below), whose sum is σ = 11084073843744. Its totient is φ = 9031467575680.

The previous prime is 10032113131307. The next prime is 10032113131351. The reversal of 10032113131331 is 13313131123001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10032113131331 - 2⁶ = 10032113131267 is a prime.

It is a super-2 number, since 2×10032113131331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032113131297 and 10032113131306.

It is not an unprimeable number, because it can be changed into a prime (10032113131351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12828788780 + ... + 12828789561.

It is an arithmetic number, because the mean of its divisors is an integer number (1385509230468).

Almost surely, 2^{10032113131331} is an apocalyptic number.

10032113131331 is a deficient number, since it is larger than the sum of its proper divisors (1051960712413).

10032113131331 is a wasteful number, since it uses less digits than its factorization.

10032113131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25657578381.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 10032113131331 its reverse (13313131123001), we get a palindrome (23345244254332).

The spelling of 10032113131331 in words is "ten trillion, thirty-two billion, one hundred thirteen million, one hundred thirty-one thousand, three hundred thirty-one".