1013213112101 has 2 divisors, whose sum is σ = 1013213112102. Its totient is φ = 1013213112100.

The previous prime is 1013213112059. The next prime is 1013213112173. The reversal of 1013213112101 is 1012113123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 896949161476 + 116263950625 = 947074^2 + 340975^2 .

It is an emirp because it is prime and its reverse (1012113123101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013213112101 - 2¹⁰ = 1013213111077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013213112101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013213112181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506606556050 + 506606556051.

It is an arithmetic number, because the mean of its divisors is an integer number (506606556051).

Almost surely, 2^{1013213112101} is an apocalyptic number.

It is an amenable number.

1013213112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013213112101 is an equidigital number, since it uses as much as digits as its factorization.

1013213112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1013213112101 its reverse (1012113123101), we get a palindrome (2025326235202).

The spelling of 1013213112101 in words is "one trillion, thirteen billion, two hundred thirteen million, one hundred twelve thousand, one hundred one".