1314035125000 has 112 divisors (see below), whose sum is σ = 3316636843380. Its totient is φ = 485181600000.

The previous prime is 1314035124973. The next prime is 1314035125001. The reversal of 1314035125000 is 5215304131.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 1229264473284 + 84770651716 = 1108722^2 + 291154^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1314035125001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1220682 + ... + 2029318.

Almost surely, 2^{1314035125000} is an apocalyptic number.

1314035125000 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 1314035125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658318421690).

1314035125000 is an abundant number, since it is smaller than the sum of its proper divisors (2002601718380).

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

1314035125000 is an frugal number, since it uses more digits than its factorization.

1314035125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808686 (or 808657 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 1314035125000 in words is "one trillion, three hundred fourteen billion, thirty-five million, one hundred twenty-five thousand".