10120110131131 has 72 divisors (see below), whose sum is σ = 13974770763072. Its totient is φ = 7258559616000.

The previous prime is 10120110131129. The next prime is 10120110131141. The reversal of 10120110131131 is 13113101102101.

10120110131131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120110131131 - 2¹ = 10120110131129 is a prime.

It is a super-2 number, since 2×10120110131131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120110131141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27022206 + ... + 27394156.

It is an arithmetic number, because the mean of its divisors is an integer number (194094038376).

Almost surely, 2^{10120110131131} is an apocalyptic number.

10120110131131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120110131131 is a deficient number, since it is larger than the sum of its proper divisors (3854660631941).

10120110131131 is a wasteful number, since it uses less digits than its factorization.

10120110131131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372353 (or 372335 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10120110131131 its reverse (13113101102101), we get a palindrome (23233211233232).

The spelling of 10120110131131 in words is "ten trillion, one hundred twenty billion, one hundred ten million, one hundred thirty-one thousand, one hundred thirty-one".