13100340414031 has 16 divisors (see below), whose sum is σ = 14375973812256. Its totient is φ = 11863035340416.

The previous prime is 13100340413987. The next prime is 13100340414047. The reversal of 13100340414031 is 13041404300131.

It is a happy number.

It is not a de Polignac number, because 13100340414031 - 2¹⁷ = 13100340282959 is a prime.

It is a super-2 number, since 2×13100340414031² (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 = 13100340413987 and 13100340414005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100340414731) 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, 4625341 + ... + 6898873.

It is an arithmetic number, because the mean of its divisors is an integer number (898498363266).

Almost surely, 2^{13100340414031} is an apocalyptic number.

13100340414031 is a deficient number, since it is larger than the sum of its proper divisors (1275633398225).

13100340414031 is a wasteful number, since it uses less digits than its factorization.

13100340414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281962.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 13100340414031 its reverse (13041404300131), we get a palindrome (26141744714162).

The spelling of 13100340414031 in words is "thirteen trillion, one hundred billion, three hundred forty million, four hundred fourteen thousand, thirty-one".