1302120331013 has 32 divisors (see below), whose sum is σ = 1400279568480. Its totient is φ = 1206487941120.

The previous prime is 1302120331007. The next prime is 1302120331027. The reversal of 1302120331013 is 3101330212031.

It can be written as a sum of positive squares in 16 ways, for example, as 1194839189569 + 107281141444 = 1093087^2 + 327538^2 .

It is a cyclic number.

It is not a de Polignac number, because 1302120331013 - 2²² = 1302116136709 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302120331073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516508193 + ... + 516510713.

It is an arithmetic number, because the mean of its divisors is an integer number (43758736515).

Almost surely, 2^{1302120331013} is an apocalyptic number.

It is an amenable number.

1302120331013 is a deficient number, since it is larger than the sum of its proper divisors (98159237467).

1302120331013 is a wasteful number, since it uses less digits than its factorization.

1302120331013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1302120331013 its reverse (3101330212031), we get a palindrome (4403450543044).

The spelling of 1302120331013 in words is "one trillion, three hundred two billion, one hundred twenty million, three hundred thirty-one thousand, thirteen".