3313013131000 has 128 divisors (see below), whose sum is σ = 7944955761600. Its totient is φ = 1292393356800.

The previous prime is 3313013130971. The next prime is 3313013131003. The reversal of 3313013131000 is 1313103133.

It is a happy number.

It is a super-2 number, since 2×3313013131000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313013131003) 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, 28020006 + ... + 28137994.

Almost surely, 2^{3313013131000} 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 3313013131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972477880800).

3313013131000 is an abundant number, since it is smaller than the sum of its proper divisors (4631942630600).

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

3313013131000 is a wasteful number, since it uses less digits than its factorization.

3313013131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118706 (or 118692 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 3313013131000 its reverse (1313103133), we get a palindrome (3314326234133).

The spelling of 3313013131000 in words is "three trillion, three hundred thirteen billion, thirteen million, one hundred thirty-one thousand".