3133101312000 has 1152 divisors, whose sum is σ = 12405966168960. Its totient is φ = 754237440000.

The previous prime is 3133101311999. The next prime is 3133101312059. The reversal of 3133101312000 is 2131013313.

It is a happy number.

3133101312000 is a `hidden beast` number, since 3 + 1 + 331 + 0 + 131 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3133101312000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4587263659 + ... + 4587264341.

It is an arithmetic number, because the mean of its divisors is an integer number (10769067855).

Almost surely, 2^{3133101312000} is an apocalyptic number.

3133101312000 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 3133101312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202983084480).

3133101312000 is an abundant number, since it is smaller than the sum of its proper divisors (9272864856960).

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

3133101312000 is a wasteful number, since it uses less digits than its factorization.

3133101312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 885 counting only the distinct ones).

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

Adding to 3133101312000 its reverse (2131013313), we get a palindrome (3135232325313).

The spelling of 3133101312000 in words is "three trillion, one hundred thirty-three billion, one hundred one million, three hundred twelve thousand".