1313464110 has 384 divisors, whose sum is σ = 4191989760. Its totient is φ = 261273600.

The previous prime is 1313464109. The next prime is 1313464133. The reversal of 1313464110 is 114643131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32035690 + ... + 32035730.

It is an arithmetic number, because the mean of its divisors is an integer number (10916640).

Almost surely, 2^1313464110 is an apocalyptic number.

1313464110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313464110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095994880).

1313464110 is an abundant number, since it is smaller than the sum of its proper divisors (2878525650).

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

1313464110 is a wasteful number, since it uses less digits than its factorization.

1313464110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1313464110 is about 36241.7454049884. The cubic root of 1313464110 is about 1095.1478043222.

The spelling of 1313464110 in words is "one billion, three hundred thirteen million, four hundred sixty-four thousand, one hundred ten".