3100133313000 has 192 divisors, whose sum is σ = 10486694995920. Its totient is φ = 826051776000.

The previous prime is 3100133312897. The next prime is 3100133313029. The reversal of 3100133313000 is 3133310013.

3100133313000 is a `hidden beast` number, since 31 + 0 + 0 + 1 + 3 + 331 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 138299196996 + 2961834116004 = 371886^2 + 1720998^2 .

It is a super-2 number, since 2×3100133313000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11358130 + ... + 11627870.

Almost surely, 2^{3100133313000} is an apocalyptic number.

3100133313000 is a gapful number since it is divisible by the number (30) 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 3100133313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243347497960).

3100133313000 is an abundant number, since it is smaller than the sum of its proper divisors (7386561682920).

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

3100133313000 is a wasteful number, since it uses less digits than its factorization.

3100133313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271045 (or 271028 counting only the distinct ones).

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

Adding to 3100133313000 its reverse (3133310013), we get a palindrome (3103266623013).

The spelling of 3100133313000 in words is "three trillion, one hundred billion, one hundred thirty-three million, three hundred thirteen thousand".