33013131012 has 96 divisors (see below), whose sum is σ = 88858425600. Its totient is φ = 10586822400.

The previous prime is 33013130989. The next prime is 33013131017. The reversal of 33013131012 is 21013131033.

It is a happy number.

33013131012 is a `hidden beast` number, since 330 + 1 + 313 + 10 + 12 = 666.

It is a super-2 number, since 2×33013131012² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33013131017) 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, 861337 + ... + 898847.

It is an arithmetic number, because the mean of its divisors is an integer number (925608600).

Almost surely, 2^33013131012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33013131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44429212800).

33013131012 is an abundant number, since it is smaller than the sum of its proper divisors (55845294588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33013131012 is a wasteful number, since it uses less digits than its factorization.

33013131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37834 (or 37826 counting only the distinct ones).

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

Adding to 33013131012 its reverse (21013131033), we get a palindrome (54026262045).

It can be divided in two parts, 33013 and 131012, that added together give a square (164025 = 405²).

The spelling of 33013131012 in words is "thirty-three billion, thirteen million, one hundred thirty-one thousand, twelve".