312133213001142 has 24 divisors (see below), whose sum is σ = 728310830336544. Its totient is φ = 96040988615664.

The previous prime is 312133213001131. The next prime is 312133213001213. The reversal of 312133213001142 is 241100312331213.

312133213001142 is a `hidden beast` number, since 3 + 1 + 21 + 3 + 321 + 300 + 1 + 14 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666951309598 + ... + 666951310065.

It is an arithmetic number, because the mean of its divisors is an integer number (30346284597356).

Almost surely, 2^{312133213001142} is an apocalyptic number.

312133213001142 is an abundant number, since it is smaller than the sum of its proper divisors (416177617335402).

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

312133213001142 is a wasteful number, since it uses less digits than its factorization.

312133213001142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333902619684 (or 1333902619681 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 312133213001142 its reverse (241100312331213), we get a palindrome (553233525332355).

The spelling of 312133213001142 in words is "three hundred twelve trillion, one hundred thirty-three billion, two hundred thirteen million, one thousand, one hundred forty-two".