10000131211319 has 8 divisors (see below), whose sum is σ = 10214416225728. Its totient is φ = 9785909374720.

The previous prime is 10000131211297. The next prime is 10000131211321. The reversal of 10000131211319 is 91311213100001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10000131211319 - 2²⁴ = 10000114434103 is a prime.

It is a super-2 number, since 2×10000131211319² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000131211294 and 10000131211303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000131211379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15474422 + ... + 16107699.

It is an arithmetic number, because the mean of its divisors is an integer number (1276802028216).

Almost surely, 2^{10000131211319} is an apocalyptic number.

10000131211319 is a deficient number, since it is larger than the sum of its proper divisors (214285014409).

10000131211319 is an equidigital number, since it uses as much as digits as its factorization.

10000131211319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31588905.

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 10000131211319 in words is "ten trillion, one hundred thirty-one million, two hundred eleven thousand, three hundred nineteen".