10131411413101 has 16 divisors (see below), whose sum is σ = 11073085410816. Its totient is φ = 9193180590000.

The previous prime is 10131411413033. The next prime is 10131411413113.

10131411413101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10131411413101 - 2²¹ = 10131409315949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131411413701) 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, 57011856 + ... + 57189286.

It is an arithmetic number, because the mean of its divisors is an integer number (692067838176).

Almost surely, 2^{10131411413101} is an apocalyptic number.

10131411413101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10131411413101 is a deficient number, since it is larger than the sum of its proper divisors (941673997715).

10131411413101 is a wasteful number, since it uses less digits than its factorization.

10131411413101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187104.

The product of its (nonzero) digits is 144, while the sum is 22.

It can be divided in two parts, 1013141 and 1413101, that added together give a palindrome (2426242).

The spelling of 10131411413101 in words is "ten trillion, one hundred thirty-one billion, four hundred eleven million, four hundred thirteen thousand, one hundred one".