101410624253413 has 2 divisors, whose sum is σ = 101410624253414. Its totient is φ = 101410624253412.

The previous prime is 101410624253381. The next prime is 101410624253437. The reversal of 101410624253413 is 314352426014101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86478412588129 + 14932211665284 = 9299377^2 + 3864222^2 .

It is a cyclic number.

It is not a de Polignac number, because 101410624253413 - 2⁵ = 101410624253381 is a prime.

It is a super-2 number, since 2×101410624253413² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101410624253453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50705312126706 + 50705312126707.

It is an arithmetic number, because the mean of its divisors is an integer number (50705312126707).

Almost surely, 2^{101410624253413} is an apocalyptic number.

It is an amenable number.

101410624253413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101410624253413 is an equidigital number, since it uses as much as digits as its factorization.

101410624253413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 101410624253413 in words is "one hundred one trillion, four hundred ten billion, six hundred twenty-four million, two hundred fifty-three thousand, four hundred thirteen".