102133121313131 has 4 divisors (see below), whose sum is σ = 102867891970200. Its totient is φ = 101398350656064.

The previous prime is 102133121313103. The next prime is 102133121313149. The reversal of 102133121313131 is 131313121331201.

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 102133121313131 - 2¹⁴ = 102133121296747 is a prime.

It is a super-3 number, since 3×102133121313131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102133121313131.

It is not an unprimeable number, because it can be changed into a prime (102133121313161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 367385328326 + ... + 367385328603.

It is an arithmetic number, because the mean of its divisors is an integer number (25716972992550).

Almost surely, 2^{102133121313131} is an apocalyptic number.

102133121313131 is a deficient number, since it is larger than the sum of its proper divisors (734770657069).

102133121313131 is an equidigital number, since it uses as much as digits as its factorization.

102133121313131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734770657068.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 102133121313131 its reverse (131313121331201), we get a palindrome (233446242644332).

The spelling of 102133121313131 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirteen thousand, one hundred thirty-one".