10131113113966 has 64 divisors (see below), whose sum is σ = 16770992027328. Its totient is φ = 4561135607808.

The previous prime is 10131113113963. The next prime is 10131113113967. The reversal of 10131113113966 is 66931131113101.

It is a super-2 number, since 2×10131113113966² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131113113963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475249140 + ... + 475270456.

It is an arithmetic number, because the mean of its divisors is an integer number (262046750427).

Almost surely, 2^{10131113113966} is an apocalyptic number.

10131113113966 is a deficient number, since it is larger than the sum of its proper divisors (6639878913362).

10131113113966 is a wasteful number, since it uses less digits than its factorization.

10131113113966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23365.

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 10131113113966 in words is "ten trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred thirteen thousand, nine hundred sixty-six".