331311130000 has 400 divisors, whose sum is σ = 884509566336. Its totient is φ = 119669760000.

The previous prime is 331311129973. The next prime is 331311130027. The reversal of 331311130000 is 31113133.

It is an interprime number because it is at equal distance from previous prime (331311129973) and next prime (331311130027).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 445909629 + ... + 445910371.

Almost surely, 2^331311130000 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 331311130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442254783168).

331311130000 is an abundant number, since it is smaller than the sum of its proper divisors (553198436336).

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

331311130000 is a wasteful number, since it uses less digits than its factorization.

331311130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 331311130000 its reverse (31113133), we get a palindrome (331342243133).

The spelling of 331311130000 in words is "three hundred thirty-one billion, three hundred eleven million, one hundred thirty thousand".