1312013430 has 256 divisors, whose sum is σ = 4375848960. Its totient is φ = 272346624.

The previous prime is 1312013419. The next prime is 1312013459. The reversal of 1312013430 is 343102131.

1312013430 is a `hidden beast` number, since 1 + 31 + 201 + 3 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1645792 + ... + 1646588.

It is an arithmetic number, because the mean of its divisors is an integer number (17093160).

Almost surely, 2^1312013430 is an apocalyptic number.

1312013430 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 1312013430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187924480).

1312013430 is an abundant number, since it is smaller than the sum of its proper divisors (3063835530).

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

1312013430 is a wasteful number, since it uses less digits than its factorization.

1312013430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312013430 is about 36221.7259389996. The cubic root of 1312013430 is about 1094.7444703047.

Adding to 1312013430 its reverse (343102131), we get a palindrome (1655115561).

It can be divided in two parts, 131 and 2013430, that added together give a square (2013561 = 1419²).

The spelling of 1312013430 in words is "one billion, three hundred twelve million, thirteen thousand, four hundred thirty".