101410113031431 has 32 divisors (see below), whose sum is σ = 137572555680000. Its totient is φ = 66428336552448.

The previous prime is 101410113031417. The next prime is 101410113031433. The reversal of 101410113031431 is 134130311014101.

It is not a de Polignac number, because 101410113031431 - 2⁷ = 101410113031303 is a prime.

It is a super-2 number, since 2×101410113031431² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101410113031433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3850175260 + ... + 3850201598.

It is an arithmetic number, because the mean of its divisors is an integer number (4299142365000).

Almost surely, 2^{101410113031431} is an apocalyptic number.

101410113031431 is a deficient number, since it is larger than the sum of its proper divisors (36162442648569).

101410113031431 is a wasteful number, since it uses less digits than its factorization.

101410113031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36223.

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

Adding to 101410113031431 its reverse (134130311014101), we get a palindrome (235540424045532).

The spelling of 101410113031431 in words is "one hundred one trillion, four hundred ten billion, one hundred thirteen million, thirty-one thousand, four hundred thirty-one".