13137621133 has 12 divisors (see below), whose sum is σ = 16458119580. Its totient is φ = 10394600832.

The previous prime is 13137621113. The next prime is 13137621163. The reversal of 13137621133 is 33112673131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3452502564 + 9685118569 = 58758^2 + 98413^2 .

It is not a de Polignac number, because 13137621133 - 2¹³ = 13137612941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13137621095 and 13137621104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137621113) 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, 10311468 + ... + 10312741.

It is an arithmetic number, because the mean of its divisors is an integer number (1371509965).

Almost surely, 2^13137621133 is an apocalyptic number.

13137621133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13137621133 is a deficient number, since it is larger than the sum of its proper divisors (3320498447).

13137621133 is a wasteful number, since it uses less digits than its factorization.

13137621133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20624236 (or 20624229 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The spelling of 13137621133 in words is "thirteen billion, one hundred thirty-seven million, six hundred twenty-one thousand, one hundred thirty-three".