1303130033100 has 180 divisors, whose sum is σ = 4827694782064. Its totient is φ = 297858280320.

The previous prime is 1303130033077. The next prime is 1303130033119. The reversal of 1303130033100 is 13300313031.

1303130033100 is a `hidden beast` number, since 1 + 3 + 0 + 31 + 300 + 331 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1303130033100² (a number of 25 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 59 ways as a sum of consecutive naturals, for example, 11434747 + ... + 11548146.

Almost surely, 2^{1303130033100} is an apocalyptic number.

1303130033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303130033100 is an abundant number, since it is smaller than the sum of its proper divisors (3524564748964).

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

1303130033100 is a wasteful number, since it uses less digits than its factorization.

1303130033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22982926 (or 22982910 counting only the distinct ones).

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

Adding to 1303130033100 its reverse (13300313031), we get a palindrome (1316430346131).

The spelling of 1303130033100 in words is "one trillion, three hundred three billion, one hundred thirty million, thirty-three thousand, one hundred".