1313125000 has 128 divisors (see below), whose sum is σ = 3374991360. Its totient is φ = 475000000.

The previous prime is 1313124991. The next prime is 1313125003. The reversal of 1313125000 is 5213131.

It is not an unprimeable number, because it can be changed into a prime (1313125003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6874905 + ... + 6875095.

It is an arithmetic number, because the mean of its divisors is an integer number (26367120).

Almost surely, 2^1313125000 is an apocalyptic number.

1313125000 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 1313125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687495680).

1313125000 is an abundant number, since it is smaller than the sum of its proper divisors (2061866360).

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

1313125000 is an frugal number, since it uses more digits than its factorization.

1313125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1313125000 is about 36237.0666583265. The cubic root of 1313125000 is about 1095.0535478355.

Adding to 1313125000 its reverse (5213131), we get a palindrome (1318338131).

The spelling of 1313125000 in words is "one billion, three hundred thirteen million, one hundred twenty-five thousand".