312003101131 has 16 divisors (see below), whose sum is σ = 331568899200. Its totient is φ = 292753018368.

The previous prime is 312003101099. The next prime is 312003101141. The reversal of 312003101131 is 131101300213.

It is a cyclic number.

It is not a de Polignac number, because 312003101131 - 2⁵ = 312003101099 is a prime.

It is a super-2 number, since 2×312003101131² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312003101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10514091 + ... + 10543723.

It is an arithmetic number, because the mean of its divisors is an integer number (20723056200).

Almost surely, 2^312003101131 is an apocalyptic number.

312003101131 is a deficient number, since it is larger than the sum of its proper divisors (19565798069).

312003101131 is a wasteful number, since it uses less digits than its factorization.

312003101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34938.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 312003101131 its reverse (131101300213), we get a palindrome (443104401344).

The spelling of 312003101131 in words is "three hundred twelve billion, three million, one hundred one thousand, one hundred thirty-one".