10010404342131 has 64 divisors (see below), whose sum is σ = 15224417648640. Its totient is φ = 5813407480320.

The previous prime is 10010404342117. The next prime is 10010404342139. The reversal of 10010404342131 is 13124340401001.

It is not a de Polignac number, because 10010404342131 - 2¹⁰ = 10010404341107 is a prime.

It is a super-2 number, since 2×10010404342131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10010404342139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437908180 + ... + 437931038.

It is an arithmetic number, because the mean of its divisors is an integer number (237881525760).

Almost surely, 2^{10010404342131} is an apocalyptic number.

10010404342131 is a deficient number, since it is larger than the sum of its proper divisors (5214013306509).

10010404342131 is a wasteful number, since it uses less digits than its factorization.

10010404342131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34976.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10010404342131 its reverse (13124340401001), we get a palindrome (23134744743132).

The spelling of 10010404342131 in words is "ten trillion, ten billion, four hundred four million, three hundred forty-two thousand, one hundred thirty-one".