1315400020 has 96 divisors (see below), whose sum is σ = 3196609920. Its totient is φ = 449648640.

The previous prime is 1315400011. The next prime is 1315400027. The reversal of 1315400020 is 200045131.

It is a junction number, because it is equal to n+sod(n) for n = 1315399967 and 1315400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315400027) 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, 571512 + ... + 573808.

It is an arithmetic number, because the mean of its divisors is an integer number (33298020).

Almost surely, 2^1315400020 is an apocalyptic number.

1315400020 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 1315400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598304960).

1315400020 is an abundant number, since it is smaller than the sum of its proper divisors (1881209900).

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

1315400020 is a wasteful number, since it uses less digits than its factorization.

1315400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1315400020 is about 36268.4438596420. The cubic root of 1315400020 is about 1095.6855849933.

Adding to 1315400020 its reverse (200045131), we get a palindrome (1515445151).

The spelling of 1315400020 in words is "one billion, three hundred fifteen million, four hundred thousand, twenty".