1312533400 has 48 divisors (see below), whose sum is σ = 3065428800. Its totient is φ = 522641280.

The previous prime is 1312533389. The next prime is 1312533427. The reversal of 1312533400 is 43352131.

It is a super-2 number, since 2×1312533400² = 3445487852231120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29886 + ... + 59314.

It is an arithmetic number, because the mean of its divisors is an integer number (63863100).

Almost surely, 2^1312533400 is an apocalyptic number.

1312533400 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 1312533400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532714400).

1312533400 is an abundant number, since it is smaller than the sum of its proper divisors (1752895400).

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

1312533400 is a wasteful number, since it uses less digits than its factorization.

1312533400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29668 (or 29659 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1312533400 is about 36228.9028263347. The cubic root of 1312533400 is about 1094.8890722544.

Adding to 1312533400 its reverse (43352131), we get a palindrome (1355885531).

The spelling of 1312533400 in words is "one billion, three hundred twelve million, five hundred thirty-three thousand, four hundred".