3133101300000 has 288 divisors, whose sum is σ = 11748385805184. Its totient is φ = 716136960000.

The previous prime is 3133101299987. The next prime is 3133101300011. The reversal of 3133101300000 is 31013313.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1354024 + ... + 2845976.

It is an arithmetic number, because the mean of its divisors is an integer number (40793006268).

Almost surely, 2^{3133101300000} is an apocalyptic number.

3133101300000 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 3133101300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874192902592).

3133101300000 is an abundant number, since it is smaller than the sum of its proper divisors (8615284505184).

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

3133101300000 is an equidigital number, since it uses as much as digits as its factorization.

3133101300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491998 (or 1491970 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 3133101300000 its reverse (31013313), we get a palindrome (3133132313313).

The spelling of 3133101300000 in words is "three trillion, one hundred thirty-three billion, one hundred one million, three hundred thousand".