101010011001413 has 2 divisors, whose sum is σ = 101010011001414. Its totient is φ = 101010011001412.

The previous prime is 101010011001409. The next prime is 101010011001439. The reversal of 101010011001413 is 314100110010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83919120704644 + 17090890296769 = 9160738^2 + 4134113^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010011001413 - 2² = 101010011001409 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010011001013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005500706 + 50505005500707.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005500707).

Almost surely, 2^{101010011001413} is an apocalyptic number.

It is an amenable number.

101010011001413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010011001413 is an equidigital number, since it uses as much as digits as its factorization.

101010011001413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101010011001413 its reverse (314100110010101), we get a palindrome (415110121011514).

The spelling of 101010011001413 in words is "one hundred one trillion, ten billion, eleven million, one thousand, four hundred thirteen".