1300206020031 has 48 divisors (see below), whose sum is σ = 1937755467648. Its totient is φ = 839644992000.

The previous prime is 1300206019997. The next prime is 1300206020039.

1300206020031 is a `hidden beast` number, since 1 + 30 + 0 + 2 + 0 + 602 + 0 + 0 + 31 = 666.

1300206020031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1300206020031 - 2⁶ = 1300206019967 is a prime.

It is a super-2 number, since 2×1300206020031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300206019986 and 1300206020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300206020039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177595851 + ... + 177603171.

It is an arithmetic number, because the mean of its divisors is an integer number (40369905576).

Almost surely, 2^{1300206020031} is an apocalyptic number.

1300206020031 is a deficient number, since it is larger than the sum of its proper divisors (637549447617).

1300206020031 is a wasteful number, since it uses less digits than its factorization.

1300206020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11632 (or 11629 counting only the distinct ones).

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

The spelling of 1300206020031 in words is "one trillion, three hundred billion, two hundred six million, twenty thousand, thirty-one".