137113011 has 12 divisors (see below), whose sum is σ = 226345392. Its totient is φ = 78350256.

The previous prime is 137113003. The next prime is 137113013. The reversal of 137113011 is 110311731.

137113011 = 3123² + 3124² + ... + 3136².

It is not a de Polignac number, because 137113011 - 2³ = 137113003 is a prime.

It is a super-2 number, since 2×137113011² = 37599955570972242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137113013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1088136 + ... + 1088261.

It is an arithmetic number, because the mean of its divisors is an integer number (18862116).

Almost surely, 2^137113011 is an apocalyptic number.

137113011 is a deficient number, since it is larger than the sum of its proper divisors (89232381).

137113011 is a wasteful number, since it uses less digits than its factorization.

137113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176410 (or 2176407 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 137113011 is about 11709.5265062256. The cubic root of 137113011 is about 515.6553832895.

Adding to 137113011 its reverse (110311731), we get a palindrome (247424742).

The spelling of 137113011 in words is "one hundred thirty-seven million, one hundred thirteen thousand, eleven".