1300312013 has 16 divisors (see below), whose sum is σ = 1745874816. Its totient is φ = 935288640.

The previous prime is 1300312003. The next prime is 1300312103. The reversal of 1300312013 is 3102130031.

It is not a de Polignac number, because 1300312013 - 2¹⁰ = 1300310989 is a prime.

It is a super-2 number, since 2×1300312013² = 3381622662304224338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300312003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648506 + ... + 650507.

It is an arithmetic number, because the mean of its divisors is an integer number (109117176).

Almost surely, 2^1300312013 is an apocalyptic number.

1300312013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300312013 is a deficient number, since it is larger than the sum of its proper divisors (445562803).

1300312013 is a wasteful number, since it uses less digits than its factorization.

1300312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299044.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1300312013 is about 36059.8393368578. The cubic root of 1300312013 is about 1091.4801911452.

Adding to 1300312013 its reverse (3102130031), we get a palindrome (4402442044).

It can be divided in two parts, 1300 and 312013, that added together give a palindrome (313313).

The spelling of 1300312013 in words is "one billion, three hundred million, three hundred twelve thousand, thirteen".