312131330133420 has 192 divisors, whose sum is σ = 1019224749312000. Its totient is φ = 71342875618560.

The previous prime is 312131330133383. The next prime is 312131330133443. The reversal of 312131330133420 is 24331033131213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1297016505 + ... + 1297257135.

It is an arithmetic number, because the mean of its divisors is an integer number (5308462236000).

Almost surely, 2^{312131330133420} is an apocalyptic number.

312131330133420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312131330133420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509612374656000).

312131330133420 is an abundant number, since it is smaller than the sum of its proper divisors (707093419178580).

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

312131330133420 is a wasteful number, since it uses less digits than its factorization.

312131330133420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303693 (or 303677 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 312131330133420 its reverse (24331033131213), we get a palindrome (336462363264633).

The spelling of 312131330133420 in words is "three hundred twelve trillion, one hundred thirty-one billion, three hundred thirty million, one hundred thirty-three thousand, four hundred twenty".