36013131 has 48 divisors (see below), whose sum is σ = 65465088. Its totient is φ = 18532800.

The previous prime is 36013127. The next prime is 36013141. The reversal of 36013131 is 13131063.

36013131 is a `hidden beast` number, since 3 + 601 + 31 + 31 = 666.

It is not a de Polignac number, because 36013131 - 2² = 36013127 is a prime.

It is a super-2 number, since 2×36013131² = 2593891208846322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36013111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108636 + ... + 108966.

It is an arithmetic number, because the mean of its divisors is an integer number (1363856).

Almost surely, 2^36013131 is an apocalyptic number.

36013131 is a deficient number, since it is larger than the sum of its proper divisors (29451957).

36013131 is a wasteful number, since it uses less digits than its factorization.

36013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 36013131 is about 6001.0941502363. The cubic root of 36013131 is about 330.2328659415.

Adding to 36013131 its reverse (13131063), we get a palindrome (49144194).

The spelling of 36013131 in words is "thirty-six million, thirteen thousand, one hundred thirty-one".