13141133432031 has 64 divisors (see below), whose sum is σ = 20939859141120. Its totient is φ = 7236243517440.

The previous prime is 13141133431999. The next prime is 13141133432051. The reversal of 13141133432031 is 13023433114131.

It is a happy number.

It is not a de Polignac number, because 13141133432031 - 2⁵ = 13141133431999 is a prime.

It is a super-2 number, since 2×13141133432031² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13141133432031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141133432051) 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, 111920851 + ... + 112038203.

It is an arithmetic number, because the mean of its divisors is an integer number (327185299080).

Almost surely, 2^{13141133432031} is an apocalyptic number.

13141133432031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13141133432031 is a deficient number, since it is larger than the sum of its proper divisors (7798725709089).

13141133432031 is a wasteful number, since it uses less digits than its factorization.

13141133432031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124296.

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 13141133432031 its reverse (13023433114131), we get a palindrome (26164566546162).

The spelling of 13141133432031 in words is "thirteen trillion, one hundred forty-one billion, one hundred thirty-three million, four hundred thirty-two thousand, thirty-one".