10131131010113 has 16 divisors (see below), whose sum is σ = 10227121981440. Its totient is φ = 10035406192896.

The previous prime is 10131131010107. The next prime is 10131131010131. The reversal of 10131131010113 is 31101013113101.

It is a cyclic number.

It is not a de Polignac number, because 10131131010113 - 2²² = 10131126815809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10131131010091 and 10131131010100.

It is not an unprimeable number, because it can be changed into a prime (10131131010163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211204070 + ... + 211252032.

It is an arithmetic number, because the mean of its divisors is an integer number (639195123840).

Almost surely, 2^{10131131010113} is an apocalyptic number.

It is an amenable number.

10131131010113 is a deficient number, since it is larger than the sum of its proper divisors (95990971327).

10131131010113 is a wasteful number, since it uses less digits than its factorization.

10131131010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50696.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 10131131010113 its reverse (31101013113101), we get a palindrome (41232144123214).

The spelling of 10131131010113 in words is "ten trillion, one hundred thirty-one billion, one hundred thirty-one million, ten thousand, one hundred thirteen".