1312311132000 has 960 divisors, whose sum is σ = 5436111320640. Its totient is φ = 307141632000.

The previous prime is 1312311131987. The next prime is 1312311132023. The reversal of 1312311132000 is 2311132131.

1312311132000 is a `hidden beast` number, since 1 + 31 + 2 + 311 + 1 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×1312311132000² (a number of 25 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 159 ways as a sum of consecutive naturals, for example, 103349652 + ... + 103362348.

It is an arithmetic number, because the mean of its divisors is an integer number (5662615959).

Almost surely, 2^{1312311132000} is an apocalyptic number.

1312311132000 is a gapful number since it is divisible by the number (10) 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 1312311132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718055660320).

1312311132000 is an abundant number, since it is smaller than the sum of its proper divisors (4123800188640).

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

1312311132000 is a wasteful number, since it uses less digits than its factorization.

1312311132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12774 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1312311132000 its reverse (2311132131), we get a palindrome (1314622264131).

The spelling of 1312311132000 in words is "one trillion, three hundred twelve billion, three hundred eleven million, one hundred thirty-two thousand".