10102133223131 has 4 divisors (see below), whose sum is σ = 10139687622000. Its totient is φ = 10064578824264.

The previous prime is 10102133223079. The next prime is 10102133223157. The reversal of 10102133223131 is 13132233120101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10102133223131 - 2¹⁴ = 10102133206747 is a prime.

It is a super-2 number, since 2×10102133223131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102133223097 and 10102133223106.

It is not an unprimeable number, because it can be changed into a prime (10102133223331) 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 in 3 ways as a sum of consecutive naturals, for example, 18777199031 + ... + 18777199568.

It is an arithmetic number, because the mean of its divisors is an integer number (2534921905500).

Almost surely, 2^{10102133223131} is an apocalyptic number.

10102133223131 is a deficient number, since it is larger than the sum of its proper divisors (37554398869).

10102133223131 is an equidigital number, since it uses as much as digits as its factorization.

10102133223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37554398868.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10102133223131 its reverse (13132233120101), we get a palindrome (23234366343232).

The spelling of 10102133223131 in words is "ten trillion, one hundred two billion, one hundred thirty-three million, two hundred twenty-three thousand, one hundred thirty-one".