33131012013 has 32 divisors (see below), whose sum is σ = 55272345600. Its totient is φ = 19431673200.

The previous prime is 33131012011. The next prime is 33131012023. The reversal of 33131012013 is 31021013133.

It is a happy number.

33131012013 is a `hidden beast` number, since 331 + 310 + 1 + 20 + 1 + 3 = 666.

It is not a de Polignac number, because 33131012013 - 2¹ = 33131012011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33131012011) 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, 1790023 + ... + 1808436.

It is an arithmetic number, because the mean of its divisors is an integer number (1727260800).

Almost surely, 2^33131012013 is an apocalyptic number.

33131012013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33131012013 is a deficient number, since it is larger than the sum of its proper divisors (22141333587).

33131012013 is a wasteful number, since it uses less digits than its factorization.

33131012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598510 (or 3598504 counting only the distinct ones).

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

Adding to 33131012013 its reverse (31021013133), we get a palindrome (64152025146).

The spelling of 33131012013 in words is "thirty-three billion, one hundred thirty-one million, twelve thousand, thirteen".