11000013137 has 8 divisors (see below), whose sum is σ = 11355441504. Its totient is φ = 10649112768.

The previous prime is 11000013071. The next prime is 11000013139. The reversal of 11000013137 is 73131000011.

11000013137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11000013137 - 2¹⁴ = 10999996753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000013139) 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 7 ways as a sum of consecutive naturals, for example, 1127063 + ... + 1136780.

It is an arithmetic number, because the mean of its divisors is an integer number (1419430188).

Almost surely, 2^11000013137 is an apocalyptic number.

It is an amenable number.

11000013137 is a deficient number, since it is larger than the sum of its proper divisors (355428367).

11000013137 is a wasteful number, since it uses less digits than its factorization.

11000013137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263999.

The product of its (nonzero) digits is 63, while the sum is 17.

Adding to 11000013137 its reverse (73131000011), we get a palindrome (84131013148).

The spelling of 11000013137 in words is "eleven billion, thirteen thousand, one hundred thirty-seven".