10001233113131 has 12 divisors (see below), whose sum is σ = 10878253910496. Its totient is φ = 9140502343200.

The previous prime is 10001233113119. The next prime is 10001233113239. The reversal of 10001233113131 is 13131133210001.

It is not a de Polignac number, because 10001233113131 - 2³⁴ = 9984053243947 is a prime.

It is a super-2 number, since 2×10001233113131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001233112131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37575731 + ... + 37840956.

It is an arithmetic number, because the mean of its divisors is an integer number (906521159208).

Almost surely, 2^{10001233113131} is an apocalyptic number.

10001233113131 is a deficient number, since it is larger than the sum of its proper divisors (877020797365).

10001233113131 is an equidigital number, since it uses as much as digits as its factorization.

10001233113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75416902 (or 75416801 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10001233113131 its reverse (13131133210001), we get a palindrome (23132366323132).

The spelling of 10001233113131 in words is "ten trillion, one billion, two hundred thirty-three million, one hundred thirteen thousand, one hundred thirty-one".