103313331000 has 384 divisors, whose sum is σ = 381693124800. Its totient is φ = 24996480000.

The previous prime is 103313330999. The next prime is 103313331019. The reversal of 103313331000 is 133313301.

103313331000 is a `hidden beast` number, since 1 + 0 + 331 + 3 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×103313331000² (a number of 23 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93158446 + ... + 93159554.

Almost surely, 2^103313331000 is an apocalyptic number.

103313331000 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 103313331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190846562400).

103313331000 is an abundant number, since it is smaller than the sum of its proper divisors (278379793800).

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

103313331000 is a wasteful number, since it uses less digits than its factorization.

103313331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2071 counting only the distinct ones).

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

Adding to 103313331000 its reverse (133313301), we get a palindrome (103446644301).

The spelling of 103313331000 in words is "one hundred three billion, three hundred thirteen million, three hundred thirty-one thousand".