312577401101 has 16 divisors (see below), whose sum is σ = 384787734528. Its totient is φ = 248007711600.

The previous prime is 312577401043. The next prime is 312577401107. The reversal of 312577401101 is 101104775213.

It is a cyclic number.

It is not a de Polignac number, because 312577401101 - 2¹⁰ = 312577400077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312577401107) 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, 31309115 + ... + 31319096.

It is an arithmetic number, because the mean of its divisors is an integer number (24049233408).

Almost surely, 2^312577401101 is an apocalyptic number.

312577401101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312577401101 is a deficient number, since it is larger than the sum of its proper divisors (72210333427).

312577401101 is a wasteful number, since it uses less digits than its factorization.

312577401101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62628272.

The product of its (nonzero) digits is 5880, while the sum is 32.

The spelling of 312577401101 in words is "three hundred twelve billion, five hundred seventy-seven million, four hundred one thousand, one hundred one".