331013134414000 has 80 divisors (see below), whose sum is σ = 815491452840480. Its totient is φ = 129907041388800.

The previous prime is 331013134413967. The next prime is 331013134414069. The reversal of 331013134414000 is 414431310133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×331013134414000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331013134414000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561276710 + ... + 1561488709.

It is an arithmetic number, because the mean of its divisors is an integer number (10193643160506).

Almost surely, 2^{331013134414000} is an apocalyptic number.

It is an amenable number.

331013134414000 is an abundant number, since it is smaller than the sum of its proper divisors (484478318426480).

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

331013134414000 is a wasteful number, since it uses less digits than its factorization.

331013134414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122765495 (or 3122765479 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 331013134414000 its reverse (414431310133), we get a palindrome (331427565724133).

The spelling of 331013134414000 in words is "three hundred thirty-one trillion, thirteen billion, one hundred thirty-four million, four hundred fourteen thousand".