1013320131213 has 16 divisors (see below), whose sum is σ = 1455090134400. Its totient is φ = 623553180864.

The previous prime is 1013320131193. The next prime is 1013320131233. The reversal of 1013320131213 is 3121310233101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013320131193) and next prime (1013320131233).

It is not a de Polignac number, because 1013320131213 - 2⁶ = 1013320131149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013320131213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013320131233) 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, 290320 + ... + 1452902.

It is an arithmetic number, because the mean of its divisors is an integer number (90943133400).

Almost surely, 2^{1013320131213} is an apocalyptic number.

1013320131213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013320131213 is a deficient number, since it is larger than the sum of its proper divisors (441770003187).

1013320131213 is a wasteful number, since it uses less digits than its factorization.

1013320131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184948.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1013320131213 its reverse (3121310233101), we get a palindrome (4134630364314).

The spelling of 1013320131213 in words is "one trillion, thirteen billion, three hundred twenty million, one hundred thirty-one thousand, two hundred thirteen".