330034400131313 has 32 divisors (see below), whose sum is σ = 343180007988480. Its totient is φ = 317207739064320.

The previous prime is 330034400131301. The next prime is 330034400131327. The reversal of 330034400131313 is 313131004430033.

It is a cyclic number.

It is not a de Polignac number, because 330034400131313 - 2³⁴ = 330017220262129 is a prime.

It is a super-2 number, since 2×330034400131313² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330034400131013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983010833 + ... + 983346513.

It is an arithmetic number, because the mean of its divisors is an integer number (10724375249640).

Almost surely, 2^{330034400131313} is an apocalyptic number.

It is an amenable number.

330034400131313 is a deficient number, since it is larger than the sum of its proper divisors (13145607857167).

330034400131313 is a wasteful number, since it uses less digits than its factorization.

330034400131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337529.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 330034400131313 its reverse (313131004430033), we get a palindrome (643165404561346).

The spelling of 330034400131313 in words is "three hundred thirty trillion, thirty-four billion, four hundred million, one hundred thirty-one thousand, three hundred thirteen".