103312311010100 has 72 divisors (see below), whose sum is σ = 237378808455768. Its totient is φ = 38893459763200.

The previous prime is 103312311010091. The next prime is 103312311010109. The reversal of 103312311010100 is 1010113213301.

It is an interprime number because it is at equal distance from previous prime (103312311010091) and next prime (103312311010109).

It can be written as a sum of positive squares in 12 ways, for example, as 30295491089956 + 73016819920144 = 5504134^2 + 8544988^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312311010109) 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, 121863680 + ... + 122708520.

It is an arithmetic number, because the mean of its divisors is an integer number (3296927895219).

Almost surely, 2^{103312311010100} is an apocalyptic number.

103312311010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312311010100 is an abundant number, since it is smaller than the sum of its proper divisors (134066497445668).

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

103312311010100 is a wasteful number, since it uses less digits than its factorization.

103312311010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916805 (or 916798 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 103312311010100 its reverse (1010113213301), we get a palindrome (104322424223401).

The spelling of 103312311010100 in words is "one hundred three trillion, three hundred twelve billion, three hundred eleven million, ten thousand, one hundred".