332133141331233 has 36 divisors (see below), whose sum is σ = 527547462856960. Its totient is φ = 201208341018960.

The previous prime is 332133141331231. The next prime is 332133141331249.

It is a happy number.

332133141331233 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 3 + 3 + 1 + 413 + 3 + 1 + 233 = 666.

332133141331233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332133141331233 - 2¹ = 332133141331231 is a prime.

It is a super-2 number, since 2×332133141331233² (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 (332133141331231) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61397593 + ... + 66587766.

Almost surely, 2^{332133141331233} is an apocalyptic number.

332133141331233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332133141331233 is a deficient number, since it is larger than the sum of its proper divisors (195414321525727).

332133141331233 is a wasteful number, since it uses less digits than its factorization.

332133141331233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127987770 (or 127987756 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 332133141331233 in words is "three hundred thirty-two trillion, one hundred thirty-three billion, one hundred forty-one million, three hundred thirty-one thousand, two hundred thirty-three".