1332112112331 has 192 divisors, whose sum is σ = 2472497664000. Its totient is φ = 620320757760.

The previous prime is 1332112112297. The next prime is 1332112112339.

1332112112331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1332112112331 - 2⁷ = 1332112112203 is a prime.

It is a super-2 number, since 2×1332112112331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1332112112339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1269887095 + ... + 1269888143.

It is an arithmetic number, because the mean of its divisors is an integer number (12877592000).

Almost surely, 2^{1332112112331} is an apocalyptic number.

1332112112331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1332112112331 is a deficient number, since it is larger than the sum of its proper divisors (1140385551669).

1332112112331 is a wasteful number, since it uses less digits than its factorization.

1332112112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2159 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The spelling of 1332112112331 in words is "one trillion, three hundred thirty-two billion, one hundred twelve million, one hundred twelve thousand, three hundred thirty-one".