10131214202131 has 16 divisors (see below), whose sum is σ = 11059817804640. Its totient is φ = 9203875614720.

The previous prime is 10131214202111. The next prime is 10131214202177. The reversal of 10131214202131 is 13120241213101.

It is a cyclic number.

It is not a de Polignac number, because 10131214202131 - 2⁷ = 10131214202003 is a prime.

It is a super-2 number, since 2×10131214202131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131214202111) 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, 350146741 + ... + 350175673.

It is an arithmetic number, because the mean of its divisors is an integer number (691238612790).

Almost surely, 2^{10131214202131} is an apocalyptic number.

10131214202131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131214202131 is a deficient number, since it is larger than the sum of its proper divisors (928603602509).

10131214202131 is a wasteful number, since it uses less digits than its factorization.

10131214202131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49686.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 10131214202131 its reverse (13120241213101), we get a palindrome (23251455415232).

The spelling of 10131214202131 in words is "ten trillion, one hundred thirty-one billion, two hundred fourteen million, two hundred two thousand, one hundred thirty-one".