1303324131213 has 56 divisors (see below), whose sum is σ = 2104952974488. Its totient is φ = 801837574272.

The previous prime is 1303324131181. The next prime is 1303324131217. The reversal of 1303324131213 is 3121314233031.

1303324131213 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 32 + 413 + 1 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66430938564 + 1236893192649 = 257742^2 + 1112157^2 .

It is not a de Polignac number, because 1303324131213 - 2⁵ = 1303324131181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303324131217) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41654731 + ... + 41686007.

It is an arithmetic number, because the mean of its divisors is an integer number (37588445973).

Almost surely, 2^{1303324131213} is an apocalyptic number.

1303324131213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1303324131213 is a deficient number, since it is larger than the sum of its proper divisors (801628843275).

1303324131213 is an equidigital number, since it uses as much as digits as its factorization.

1303324131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35705 (or 35690 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1303324131213 its reverse (3121314233031), we get a palindrome (4424638364244).

The spelling of 1303324131213 in words is "one trillion, three hundred three billion, three hundred twenty-four million, one hundred thirty-one thousand, two hundred thirteen".