102313103333100 has 216 divisors, whose sum is σ = 326166523214784. Its totient is φ = 24557592480000.

The previous prime is 102313103332949. The next prime is 102313103333107. The reversal of 102313103333100 is 1333301313201.

It is a super-2 number, since 2×102313103333100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102313103333107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32143647 + ... + 35182953.

Almost surely, 2^{102313103333100} is an apocalyptic number.

102313103333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102313103333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163083261607392).

102313103333100 is an abundant number, since it is smaller than the sum of its proper divisors (223853419881684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102313103333100 is a wasteful number, since it uses less digits than its factorization.

102313103333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039537 (or 3039429 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 102313103333100 its reverse (1333301313201), we get a palindrome (103646404646301).

The spelling of 102313103333100 in words is "one hundred two trillion, three hundred thirteen billion, one hundred three million, three hundred thirty-three thousand, one hundred".