312131100101310 has 48 divisors (see below), whose sum is σ = 927475268874336. Its totient is φ = 71344251451584.

The previous prime is 312131100101299. The next prime is 312131100101333. The reversal of 312131100101310 is 13101001131213.

312131100101310 is a `hidden beast` number, since 3 + 121 + 31 + 100 + 101 + 310 = 666.

It is a super-2 number, since 2×312131100101310² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

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, 247723094689 + ... + 247723095948.

It is an arithmetic number, because the mean of its divisors is an integer number (19322401434882).

Almost surely, 2^{312131100101310} is an apocalyptic number.

312131100101310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312131100101310 is an abundant number, since it is smaller than the sum of its proper divisors (615344168773026).

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

312131100101310 is a wasteful number, since it uses less digits than its factorization.

312131100101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495446190657 (or 495446190654 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 312131100101310 its reverse (13101001131213), we get a palindrome (325232101232523).

The spelling of 312131100101310 in words is "three hundred twelve trillion, one hundred thirty-one billion, one hundred million, one hundred one thousand, three hundred ten".