1000313133300 has 216 divisors, whose sum is σ = 3458970616920. Its totient is φ = 240225177600.

The previous prime is 1000313133283. The next prime is 1000313133311. The reversal of 1000313133300 is 33313130001.

1000313133300 is a `hidden beast` number, since 10 + 0 + 0 + 313 + 13 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 779978650896 + 220334482404 = 883164^2 + 469398^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 562945 + ... + 1522344.

Almost surely, 2^{1000313133300} is an apocalyptic number.

1000313133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000313133300 is an abundant number, since it is smaller than the sum of its proper divisors (2458657483620).

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

1000313133300 is a wasteful number, since it uses less digits than its factorization.

1000313133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085363 (or 2085353 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 1000313133300 its reverse (33313130001), we get a palindrome (1033626263301).

The spelling of 1000313133300 in words is "one trillion, three hundred thirteen million, one hundred thirty-three thousand, three hundred".