312000413101002 has 48 divisors (see below), whose sum is σ = 676613777566272. Its totient is φ = 103905879062400.

The previous prime is 312000413100979. The next prime is 312000413101019. The reversal of 312000413101002 is 200101314000213.

312000413101002 is a `hidden beast` number, since 31 + 200 + 0 + 413 + 10 + 10 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119852178 + ... + 122427714.

It is an arithmetic number, because the mean of its divisors is an integer number (14096120365964).

Almost surely, 2^{312000413101002} is an apocalyptic number.

312000413101002 is an abundant number, since it is smaller than the sum of its proper divisors (364613364465270).

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

312000413101002 is a wasteful number, since it uses less digits than its factorization.

312000413101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581643 (or 2581640 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312000413101002 its reverse (200101314000213), we get a palindrome (512101727101215).

The spelling of 312000413101002 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred one thousand, two".