10132414040131 has 16 divisors (see below), whose sum is σ = 10396241856000. Its totient is φ = 9869871822048.

The previous prime is 10132414040129. The next prime is 10132414040149. The reversal of 10132414040131 is 13104041423101.

It is a cyclic number.

It is not a de Polignac number, because 10132414040131 - 2¹ = 10132414040129 is a prime.

It is a super-2 number, since 2×10132414040131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10132414040096 and 10132414040105.

It is not an unprimeable number, because it can be changed into a prime (10132414050131) 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, 399703845 + ... + 399729193.

It is an arithmetic number, because the mean of its divisors is an integer number (649765116000).

Almost surely, 2^{10132414040131} is an apocalyptic number.

10132414040131 is a deficient number, since it is larger than the sum of its proper divisors (263827815869).

10132414040131 is a wasteful number, since it uses less digits than its factorization.

10132414040131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50298.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10132414040131 its reverse (13104041423101), we get a palindrome (23236455463232).

The spelling of 10132414040131 in words is "ten trillion, one hundred thirty-two billion, four hundred fourteen million, forty thousand, one hundred thirty-one".