10113321033131 has 32 divisors (see below), whose sum is σ = 11162165575680. Its totient is φ = 9120057408000.

The previous prime is 10113321033119. The next prime is 10113321033139. The reversal of 10113321033131 is 13133012331101.

10113321033131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10113321033131 is a prime.

It is a super-2 number, since 2×10113321033131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10113321033097 and 10113321033106.

It is not an unprimeable number, because it can be changed into a prime (10113321033139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73704470 + ... + 73841556.

It is an arithmetic number, because the mean of its divisors is an integer number (348817674240).

Almost surely, 2^{10113321033131} is an apocalyptic number.

10113321033131 is a deficient number, since it is larger than the sum of its proper divisors (1048844542549).

10113321033131 is a wasteful number, since it uses less digits than its factorization.

10113321033131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138275.

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

Adding to 10113321033131 its reverse (13133012331101), we get a palindrome (23246333364232).

The spelling of 10113321033131 in words is "ten trillion, one hundred thirteen billion, three hundred twenty-one million, thirty-three thousand, one hundred thirty-one".