102133001020213 has 6 divisors (see below), whose sum is σ = 107791339027254. Its totient is φ = 96757579913544.

The previous prime is 102133001020207. The next prime is 102133001020217. The reversal of 102133001020213 is 312020100331201.

It can be written as a sum of positive squares in only one way, i.e., 75599860053124 + 26533140967089 = 8694818^2 + 5151033^2 .

It is not a de Polignac number, because 102133001020213 - 2²⁹ = 102132464149301 is a prime.

It is a super-2 number, since 2×102133001020213² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133001020217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141458449806 + ... + 141458450527.

It is an arithmetic number, because the mean of its divisors is an integer number (17965223171209).

Almost surely, 2^{102133001020213} is an apocalyptic number.

It is an amenable number.

102133001020213 is a deficient number, since it is larger than the sum of its proper divisors (5658338007041).

102133001020213 is an equidigital number, since it uses as much as digits as its factorization.

102133001020213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282916900371 (or 282916900352 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 102133001020213 its reverse (312020100331201), we get a palindrome (414153101351414).

The spelling of 102133001020213 in words is "one hundred two trillion, one hundred thirty-three billion, one million, twenty thousand, two hundred thirteen".