312001101 has 12 divisors (see below), whose sum is σ = 450898812. Its totient is φ = 207894336.

The previous prime is 312001097. The next prime is 312001127. The reversal of 312001101 is 101100213.

It can be written as a sum of positive squares in 2 ways, for example, as 280529001 + 31472100 = 16749^2 + 5610^2 .

It is not a de Polignac number, because 312001101 - 2² = 312001097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12385 + ... + 27881.

It is an arithmetic number, because the mean of its divisors is an integer number (37574901).

Almost surely, 2^312001101 is an apocalyptic number.

It is an amenable number.

312001101 is a deficient number, since it is larger than the sum of its proper divisors (138897711).

312001101 is a wasteful number, since it uses less digits than its factorization.

312001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17740 (or 17737 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 312001101 is about 17663.5528985536. The cubic root of 312001101 is about 678.2430864061.

Adding to 312001101 its reverse (101100213), we get a palindrome (413101314).

The spelling of 312001101 in words is "three hundred twelve million, one thousand, one hundred one".