137414111013 has 32 divisors (see below), whose sum is σ = 204143985920. Its totient is φ = 91354314240.

The previous prime is 137414110993. The next prime is 137414111039. The reversal of 137414111013 is 310111414731.

137414111013 is a `hidden beast` number, since 137 + 414 + 1 + 110 + 1 + 3 = 666.

It is not a de Polignac number, because 137414111013 - 2⁹ = 137414110501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137414111083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23362833 + ... + 23368713.

It is an arithmetic number, because the mean of its divisors is an integer number (6379499560).

Almost surely, 2^137414111013 is an apocalyptic number.

It is an amenable number.

137414111013 is a deficient number, since it is larger than the sum of its proper divisors (66729874907).

137414111013 is a wasteful number, since it uses less digits than its factorization.

137414111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8154 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 137414111013 its reverse (310111414731), we get a palindrome (447525525744).

The spelling of 137414111013 in words is "one hundred thirty-seven billion, four hundred fourteen million, one hundred eleven thousand, thirteen".