13100414031 has 24 divisors (see below), whose sum is σ = 19650269184. Its totient is φ = 8401240080.

The previous prime is 13100414029. The next prime is 13100414069. The reversal of 13100414031 is 13041400131.

13100414031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13100414031 - 2¹ = 13100414029 is a prime.

It is a super-2 number, since 2×13100414031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13100413995 and 13100414013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100414531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93991 + ... + 187176.

It is an arithmetic number, because the mean of its divisors is an integer number (818761216).

Almost surely, 2^13100414031 is an apocalyptic number.

13100414031 is a deficient number, since it is larger than the sum of its proper divisors (6549855153).

13100414031 is a wasteful number, since it uses less digits than its factorization.

13100414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281371 (or 281368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13100414031 its reverse (13041400131), we get a palindrome (26141814162).

The spelling of 13100414031 in words is "thirteen billion, one hundred million, four hundred fourteen thousand, thirty-one".