1013312121300 has 216 divisors, whose sum is σ = 3200194757760. Its totient is φ = 268176096000.

The previous prime is 1013312121277. The next prime is 1013312121301. The reversal of 1013312121300 is 31212133101.

1013312121300 is a `hidden beast` number, since 10 + 1 + 331 + 2 + 1 + 21 + 300 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013312121301) 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, 179249274 + ... + 179254926.

Almost surely, 2^{1013312121300} is an apocalyptic number.

1013312121300 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 1013312121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600097378880).

1013312121300 is an abundant number, since it is smaller than the sum of its proper divisors (2186882636460).

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

1013312121300 is a wasteful number, since it uses less digits than its factorization.

1013312121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7133 counting only the distinct ones).

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

Adding to 1013312121300 its reverse (31212133101), we get a palindrome (1044524254401).

The spelling of 1013312121300 in words is "one trillion, thirteen billion, three hundred twelve million, one hundred twenty-one thousand, three hundred".