1311513330 has 128 divisors (see below), whose sum is σ = 3341834496. Its totient is φ = 329011200.

The previous prime is 1311513319. The next prime is 1311513353. The reversal of 1311513330 is 333151131.

It is a junction number, because it is equal to n+sod(n) for n = 1311513297 and 1311513306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7245840 + ... + 7246020.

It is an arithmetic number, because the mean of its divisors is an integer number (26108082).

Almost surely, 2^1311513330 is an apocalyptic number.

1311513330 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 1311513330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670917248).

1311513330 is an abundant number, since it is smaller than the sum of its proper divisors (2030321166).

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

1311513330 is a wasteful number, since it uses less digits than its factorization.

1311513330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 1311513330 is about 36214.8219655986. The cubic root of 1311513330 is about 1094.6053580891.

Adding to 1311513330 its reverse (333151131), we get a palindrome (1644664461).

The spelling of 1311513330 in words is "one billion, three hundred eleven million, five hundred thirteen thousand, three hundred thirty".