10645511101013 has 2 divisors, whose sum is σ = 10645511101014. Its totient is φ = 10645511101012.

The previous prime is 10645511100949. The next prime is 10645511101019. The reversal of 10645511101013 is 31010111554601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9694648186129 + 950862914884 = 3113623^2 + 975122^2 .

It is a cyclic number.

It is not a de Polignac number, because 10645511101013 - 2⁶ = 10645511100949 is a prime.

It is a super-2 number, since 2×10645511101013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10645511101019) 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, 5322755550506 + 5322755550507.

It is an arithmetic number, because the mean of its divisors is an integer number (5322755550507).

Almost surely, 2^{10645511101013} is an apocalyptic number.

It is an amenable number.

10645511101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10645511101013 is an equidigital number, since it uses as much as digits as its factorization.

10645511101013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 29.

Adding to 10645511101013 its reverse (31010111554601), we get a palindrome (41655622655614).

The spelling of 10645511101013 in words is "ten trillion, six hundred forty-five billion, five hundred eleven million, one hundred one thousand, thirteen".