10000131131131 has 8 divisors (see below), whose sum is σ = 10128113982464. Its totient is φ = 9872960869800.

The previous prime is 10000131131083. The next prime is 10000131131161. The reversal of 10000131131131 is 13113113100001.

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 10000131131131 - 2²³ = 10000122742523 is a prime.

It is a super-2 number, since 2×10000131131131² (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 (10000131131161) 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, 203122731 + ... + 203171956.

It is an arithmetic number, because the mean of its divisors is an integer number (1266014247808).

Almost surely, 2^{10000131131131} is an apocalyptic number.

10000131131131 is a deficient number, since it is larger than the sum of its proper divisors (127982851333).

10000131131131 is a wasteful number, since it uses less digits than its factorization.

10000131131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406295001.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 10000131131131 its reverse (13113113100001), we get a palindrome (23113244231132).

It can be divided in two parts, 10000 and 131131131, that added together give a palindrome (131141131).

The spelling of 10000131131131 in words is "ten trillion, one hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-one".