101854787001413 has 2 divisors, whose sum is σ = 101854787001414. Its totient is φ = 101854787001412.

The previous prime is 101854787001361. The next prime is 101854787001463. The reversal of 101854787001413 is 314100787458101.

It is an a-pointer prime, because the next prime (101854787001463) can be obtained adding 101854787001413 to its sum of digits (50).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101787154237444 + 67632763969 = 10088962^2 + 260063^2 .

It is a cyclic number.

It is not a de Polignac number, because 101854787001413 - 2⁸ = 101854787001157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101854787001463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50927393500706 + 50927393500707.

It is an arithmetic number, because the mean of its divisors is an integer number (50927393500707).

Almost surely, 2^{101854787001413} is an apocalyptic number.

It is an amenable number.

101854787001413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101854787001413 is an equidigital number, since it uses as much as digits as its factorization.

101854787001413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 752640, while the sum is 50.

The spelling of 101854787001413 in words is "one hundred one trillion, eight hundred fifty-four billion, seven hundred eighty-seven million, one thousand, four hundred thirteen".