10033013002131 has 40 divisors (see below), whose sum is σ = 17132149672704. Its totient is φ = 5731986014640.

The previous prime is 10033013002121. The next prime is 10033013002151. The reversal of 10033013002131 is 13120031033001.

It is a happy number.

10033013002131 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 1 + 300 + 2 + 1 + 31 = 666.

It is not a de Polignac number, because 10033013002131 - 2⁷ = 10033013002003 is a prime.

It is a super-2 number, since 2×10033013002131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10033013002121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1001626 + ... + 4590128.

Almost surely, 2^{10033013002131} is an apocalyptic number.

10033013002131 is a deficient number, since it is larger than the sum of its proper divisors (7099136670573).

10033013002131 is an equidigital number, since it uses as much as digits as its factorization.

10033013002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593453 (or 3593444 counting only the distinct ones).

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

Adding to 10033013002131 its reverse (13120031033001), we get a palindrome (23153044035132).

The spelling of 10033013002131 in words is "ten trillion, thirty-three billion, thirteen million, two thousand, one hundred thirty-one".