331012133010 has 256 divisors, whose sum is σ = 1008205470720. Its totient is φ = 76658503680.

The previous prime is 331012133003. The next prime is 331012133021. The reversal of 331012133010 is 10331210133.

It is a happy number.

331012133010 is a `hidden beast` number, since 3 + 310 + 1 + 21 + 330 + 1 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4890922 + ... + 4958138.

It is an arithmetic number, because the mean of its divisors is an integer number (3938302620).

Almost surely, 2^331012133010 is an apocalyptic number.

331012133010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331012133010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504102735360).

331012133010 is an abundant number, since it is smaller than the sum of its proper divisors (677193337710).

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

331012133010 is a wasteful number, since it uses less digits than its factorization.

331012133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67330 (or 67324 counting only the distinct ones).

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

Adding to 331012133010 its reverse (10331210133), we get a palindrome (341343343143).

The spelling of 331012133010 in words is "three hundred thirty-one billion, twelve million, one hundred thirty-three thousand, ten".