331023121320133 has 48 divisors (see below), whose sum is σ = 389930066830080. Its totient is φ = 279791886274560.

The previous prime is 331023121320119. The next prime is 331023121320247.

It is a happy number.

331023121320133 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-331023121320133 is a prime.

It is a super-2 number, since 2×331023121320133² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331023121320733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2147206708 + ... + 2147360866.

It is an arithmetic number, because the mean of its divisors is an integer number (8123543058960).

Almost surely, 2^{331023121320133} is an apocalyptic number.

It is an amenable number.

331023121320133 is a deficient number, since it is larger than the sum of its proper divisors (58906945509947).

331023121320133 is a wasteful number, since it uses less digits than its factorization.

331023121320133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166858 (or 166847 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 331023121320133 in words is "three hundred thirty-one trillion, twenty-three billion, one hundred twenty-one million, three hundred twenty thousand, one hundred thirty-three".