10142113321131 has 32 divisors (see below), whose sum is σ = 15620492729088. Its totient is φ = 5784957680640.

The previous prime is 10142113321121. The next prime is 10142113321187. The reversal of 10142113321131 is 13112331124101.

10142113321131 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 10142113321131 - 2⁵ = 10142113321099 is a prime.

It is a super-2 number, since 2×10142113321131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10142113321121) 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, 16292791 + ... + 16903823.

It is an arithmetic number, because the mean of its divisors is an integer number (488140397784).

Almost surely, 2^{10142113321131} is an apocalyptic number.

10142113321131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10142113321131 is a deficient number, since it is larger than the sum of its proper divisors (5478379407957).

10142113321131 is a wasteful number, since it uses less digits than its factorization.

10142113321131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640651.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 10142113321131 its reverse (13112331124101), we get a palindrome (23254444445232).

The spelling of 10142113321131 in words is "ten trillion, one hundred forty-two billion, one hundred thirteen million, three hundred twenty-one thousand, one hundred thirty-one".