1311345425000 has 192 divisors, whose sum is σ = 3343875197040. Its totient is φ = 479185920000.

The previous prime is 1311345424973. The next prime is 1311345425021. The reversal of 1311345425000 is 5245431131.

It can be written as a sum of positive squares in 24 ways, for example, as 1291436779396 + 19908645604 = 1136414^2 + 141098^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31504202 + ... + 31545798.

Almost surely, 2^{1311345425000} is an apocalyptic number.

1311345425000 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 1311345425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671937598520).

1311345425000 is an abundant number, since it is smaller than the sum of its proper divisors (2032529772040).

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

1311345425000 is an equidigital number, since it uses as much as digits as its factorization.

1311345425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41738 (or 41714 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 1311345425000 in words is "one trillion, three hundred eleven billion, three hundred forty-five million, four hundred twenty-five thousand".