103320312313100 has 72 divisors (see below), whose sum is σ = 228991663595520. Its totient is φ = 40445929875520.

The previous prime is 103320312313061. The next prime is 103320312313109. The reversal of 103320312313100 is 1313213023301.

It is a super-2 number, since 2×103320312313100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103320312313109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65999231 + ... + 67546569.

It is an arithmetic number, because the mean of its divisors is an integer number (3180439772160).

Almost surely, 2^{103320312313100} is an apocalyptic number.

103320312313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103320312313100 is an abundant number, since it is smaller than the sum of its proper divisors (125671351282420).

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

103320312313100 is a wasteful number, since it uses less digits than its factorization.

103320312313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561607 (or 1561600 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103320312313100 its reverse (1313213023301), we get a palindrome (104633525336401).

The spelling of 103320312313100 in words is "one hundred three trillion, three hundred twenty billion, three hundred twelve million, three hundred thirteen thousand, one hundred".