1313829880 has 64 divisors (see below), whose sum is σ = 3229670880. Its totient is φ = 477043200.

The previous prime is 1313829827. The next prime is 1313829899. The reversal of 1313829880 is 889283131.

It is a super-2 number, since 2×1313829880² = 3452297907161628800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359422 + ... + 363058.

Almost surely, 2^1313829880 is an apocalyptic number.

1313829880 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 1313829880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614835440).

1313829880 is an abundant number, since it is smaller than the sum of its proper divisors (1915841000).

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

1313829880 is a wasteful number, since it uses less digits than its factorization.

1313829880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 1313829880 is about 36246.7913062660. The cubic root of 1313829880 is about 1095.2494528387.

The spelling of 1313829880 in words is "one billion, three hundred thirteen million, eight hundred twenty-nine thousand, eight hundred eighty".