312000413101001 has 16 divisors (see below), whose sum is σ = 322126437442560. Its totient is φ = 301878238184640.

The previous prime is 312000413100979. The next prime is 312000413101019. The reversal of 312000413101001 is 100101314000213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312000413101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312000413101021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4077385820 + ... + 4077462338.

It is an arithmetic number, because the mean of its divisors is an integer number (20132902340160).

Almost surely, 2^{312000413101001} is an apocalyptic number.

312000413101001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312000413101001 is a deficient number, since it is larger than the sum of its proper divisors (10126024341559).

312000413101001 is a wasteful number, since it uses less digits than its factorization.

312000413101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99944.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 312000413101001 its reverse (100101314000213), we get a palindrome (412101727101214).

The spelling of 312000413101001 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred one thousand, one".