10000011013131 has 16 divisors (see below), whose sum is σ = 13496603678208. Its totient is φ = 6585352476000.

The previous prime is 10000011013123. The next prime is 10000011013141. The reversal of 10000011013131 is 13131011000001.

It is not a de Polignac number, because 10000011013131 - 2³ = 10000011013123 is a prime.

It is a super-2 number, since 2×10000011013131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10000011013141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38156341 + ... + 38417526.

It is an arithmetic number, because the mean of its divisors is an integer number (843537729888).

Almost surely, 2^{10000011013131} is an apocalyptic number.

10000011013131 is a deficient number, since it is larger than the sum of its proper divisors (3496592665077).

10000011013131 is a wasteful number, since it uses less digits than its factorization.

10000011013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76574402.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10000011013131 its reverse (13131011000001), we get a palindrome (23131022013132).

The spelling of 10000011013131 in words is "ten trillion, eleven million, thirteen thousand, one hundred thirty-one".