331311313313000 has 128 divisors (see below), whose sum is σ = 792065926080000. Its totient is φ = 129655319584000.

The previous prime is 331311313312979. The next prime is 331311313313017. The reversal of 331311313313000 is 313313113133.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121842251 + ... + 124531749.

It is an arithmetic number, because the mean of its divisors is an integer number (6188015047500).

Almost surely, 2^{331311313313000} 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 331311313313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396032963040000).

331311313313000 is an abundant number, since it is smaller than the sum of its proper divisors (460754612767000).

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

331311313313000 is a wasteful number, since it uses less digits than its factorization.

331311313313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692188 (or 2692174 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 26.

Adding to 331311313313000 its reverse (313313113133), we get a palindrome (331624626426133).

The spelling of 331311313313000 in words is "three hundred thirty-one trillion, three hundred eleven billion, three hundred thirteen million, three hundred thirteen thousand".