213756400001 has 2 divisors, whose sum is σ = 213756400002. Its totient is φ = 213756400000.

The previous prime is 213756399959. The next prime is 213756400003. The reversal of 213756400001 is 100004657312.

213756400001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212249097025 + 1507302976 = 460705^2 + 38824^2 .

It is a cyclic number.

It is not a de Polignac number, because 213756400001 - 2¹⁸ = 213756137857 is a prime.

It is a super-3 number, since 3×213756400001³ (a number of 35 digits) contains 333 as substring.

Together with 213756400003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213756400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106878200000 + 106878200001.

It is an arithmetic number, because the mean of its divisors is an integer number (106878200001).

Almost surely, 2^213756400001 is an apocalyptic number.

It is an amenable number.

213756400001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213756400001 is an equidigital number, since it uses as much as digits as its factorization.

213756400001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The spelling of 213756400001 in words is "two hundred thirteen billion, seven hundred fifty-six million, four hundred thousand, one".