102100313313103 has 8 divisors (see below), whose sum is σ = 116726490140672. Its totient is φ = 87484240931256.

The previous prime is 102100313313077. The next prime is 102100313313107. The reversal of 102100313313103 is 301313313001201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100313313103 - 2³⁷ = 101962874359631 is a prime.

It is a super-2 number, since 2×102100313313103² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100313313107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2526089775 + ... + 2526130192.

It is an arithmetic number, because the mean of its divisors is an integer number (14590811267584).

Almost surely, 2^{102100313313103} is an apocalyptic number.

102100313313103 is a deficient number, since it is larger than the sum of its proper divisors (14626176827569).

102100313313103 is an equidigital number, since it uses as much as digits as its factorization.

102100313313103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052222861.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 102100313313103 its reverse (301313313001201), we get a palindrome (403413626314304).

The spelling of 102100313313103 in words is "one hundred two trillion, one hundred billion, three hundred thirteen million, three hundred thirteen thousand, one hundred three".