210400220332413 has 12 divisors (see below), whose sum is σ = 304080175327708. Its totient is φ = 140188930804800.

The previous prime is 210400220332399. The next prime is 210400220332481. The reversal of 210400220332413 is 314233022004012.

210400220332413 is a `hidden beast` number, since 2 + 1 + 0 + 40 + 0 + 2 + 203 + 3 + 2 + 413 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134520145351524 + 75880074980889 = 11598282^2 + 8710917^2 .

It is not a de Polignac number, because 210400220332413 - 2²⁹ = 210399683461501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210400220332213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6490212070 + ... + 6490244487.

Almost surely, 2^{210400220332413} is an apocalyptic number.

It is an amenable number.

210400220332413 is a deficient number, since it is larger than the sum of its proper divisors (93679954995295).

210400220332413 is a wasteful number, since it uses less digits than its factorization.

210400220332413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980458364 (or 12980458361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 210400220332413 its reverse (314233022004012), we get a palindrome (524633242336425).

The spelling of 210400220332413 in words is "two hundred ten trillion, four hundred billion, two hundred twenty million, three hundred thirty-two thousand, four hundred thirteen".