3301313131000 has 256 divisors, whose sum is σ = 7987682626560. Its totient is φ = 1276464217600.

The previous prime is 3301313130967. The next prime is 3301313131009. The reversal of 3301313131000 is 1313131033.

It is a happy number.

It is a super-2 number, since 2×3301313131000² (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 (3301313131009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2054332197 + ... + 2054333803.

It is an arithmetic number, because the mean of its divisors is an integer number (31201885260).

Almost surely, 2^{3301313131000} 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 3301313131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993841313280).

3301313131000 is an abundant number, since it is smaller than the sum of its proper divisors (4686369495560).

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

3301313131000 is a wasteful number, since it uses less digits than its factorization.

3301313131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2217 counting only the distinct ones).

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

Adding to 3301313131000 its reverse (1313131033), we get a palindrome (3302626262033).

The spelling of 3301313131000 in words is "three trillion, three hundred one billion, three hundred thirteen million, one hundred thirty-one thousand".