1311513000 has 384 divisors, whose sum is σ = 4964094720. Its totient is φ = 282355200.

The previous prime is 1311512971. The next prime is 1311513013. The reversal of 1311513000 is 3151131.

It is a super-3 number, since 3×1311513000³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7580914 + ... + 7581086.

It is an arithmetic number, because the mean of its divisors is an integer number (12927330).

Almost surely, 2^1311513000 is an apocalyptic number.

1311513000 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 1311513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482047360).

1311513000 is an abundant number, since it is smaller than the sum of its proper divisors (3652581720).

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

1311513000 is a wasteful number, since it uses less digits than its factorization.

1311513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 1311513000 is about 36214.8174094527. The cubic root of 1311513000 is about 1094.6052662817.

Adding to 1311513000 its reverse (3151131), we get a palindrome (1314664131).

The spelling of 1311513000 in words is "one billion, three hundred eleven million, five hundred thirteen thousand".