101102133013 has 6 divisors (see below), whose sum is σ = 117608603766. Its totient is φ = 86658971112.

The previous prime is 101102133001. The next prime is 101102133019. The reversal of 101102133013 is 310331201101.

It can be written as a sum of positive squares in only one way, i.e., 58952811204 + 42149321809 = 242802^2 + 205303^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101102133013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102133019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1031654370 + ... + 1031654467.

It is an arithmetic number, because the mean of its divisors is an integer number (19601433961).

Almost surely, 2^101102133013 is an apocalyptic number.

It is an amenable number.

101102133013 is a deficient number, since it is larger than the sum of its proper divisors (16506470753).

101102133013 is an equidigital number, since it uses as much as digits as its factorization.

101102133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063308851 (or 2063308844 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101102133013 its reverse (310331201101), we get a palindrome (411433334114).

The spelling of 101102133013 in words is "one hundred one billion, one hundred two million, one hundred thirty-three thousand, thirteen".