312311001131130 has 64 divisors (see below), whose sum is σ = 755636349173760. Its totient is φ = 82606599319104.

The previous prime is 312311001131089. The next prime is 312311001131141. The reversal of 312311001131130 is 31131100113213.

It is a super-2 number, since 2×312311001131130² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312311001131097 and 312311001131106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5114407 + ... + 25510373.

It is an arithmetic number, because the mean of its divisors is an integer number (11806817955840).

Almost surely, 2^{312311001131130} is an apocalyptic number.

312311001131130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312311001131130 is an abundant number, since it is smaller than the sum of its proper divisors (443325348042630).

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

312311001131130 is a wasteful number, since it uses less digits than its factorization.

312311001131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20400123.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 312311001131130 its reverse (31131100113213), we get a palindrome (343442101244343).

The spelling of 312311001131130 in words is "three hundred twelve trillion, three hundred eleven billion, one million, one hundred thirty-one thousand, one hundred thirty".