331001130000 has 200 divisors, whose sum is σ = 1073329024768. Its totient is φ = 87869376000.

The previous prime is 331001129993. The next prime is 331001130007. The reversal of 331001130000 is 31100133.

It is an interprime number because it is at equal distance from previous prime (331001129993) and next prime (331001130007).

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×331001130000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (331001130007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6665262 + ... + 6714738.

Almost surely, 2^331001130000 is an apocalyptic number.

331001130000 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 331001130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536664512384).

331001130000 is an abundant number, since it is smaller than the sum of its proper divisors (742327894768).

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

331001130000 is a wasteful number, since it uses less digits than its factorization.

331001130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49731 (or 49710 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 331001130000 its reverse (31100133), we get a palindrome (331032230133).

The spelling of 331001130000 in words is "three hundred thirty-one billion, one million, one hundred thirty thousand".