3013132002000 has 160 divisors (see below), whose sum is σ = 9725065544064. Its totient is φ = 802614528000.

The previous prime is 3013132001989. The next prime is 3013132002007. The reversal of 3013132002000 is 2002313103.

It is a super-2 number, since 2×3013132002000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013132002007) 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, 5165160 + ... + 5718840.

Almost surely, 2^{3013132002000} is an apocalyptic number.

3013132002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013132002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862532772032).

3013132002000 is an abundant number, since it is smaller than the sum of its proper divisors (6711933542064).

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

3013132002000 is a wasteful number, since it uses less digits than its factorization.

3013132002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554614 (or 554598 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3013132002000 its reverse (2002313103), we get a palindrome (3015134315103).

The spelling of 3013132002000 in words is "three trillion, thirteen billion, one hundred thirty-two million, two thousand".