10301312121300 has 108 divisors (see below), whose sum is σ = 32304006028476. Its totient is φ = 2745730598400.

The previous prime is 10301312121293. The next prime is 10301312121319. The reversal of 10301312121300 is 312121310301.

10301312121300 is a `hidden beast` number, since 1 + 0 + 30 + 1 + 312 + 1 + 21 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 931174820676 + 9370137300624 = 964974^2 + 3061068^2 .

It is a super-2 number, since 2×10301312121300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 754731 + ... + 4601330.

Almost surely, 2^{10301312121300} is an apocalyptic number.

10301312121300 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 10301312121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152003014238).

10301312121300 is an abundant number, since it is smaller than the sum of its proper divisors (22002693907176).

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

10301312121300 is a wasteful number, since it uses less digits than its factorization.

10301312121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358218 (or 5358208 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10301312121300 its reverse (312121310301), we get a palindrome (10613433431601).

The spelling of 10301312121300 in words is "ten trillion, three hundred one billion, three hundred twelve million, one hundred twenty-one thousand, three hundred".