30033013131000 has 384 divisors, whose sum is σ = 111313762971840. Its totient is φ = 7243001856000.

The previous prime is 30033013130993. The next prime is 30033013131061. The reversal of 30033013131000 is 13131033003.

30033013131000 is a `hidden beast` number, since 300 + 3 + 301 + 31 + 31 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×30033013131000² (a number of 28 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18321084 + ... + 19892916.

Almost surely, 2^{30033013131000} is an apocalyptic number.

30033013131000 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 30033013131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55656881485920).

30033013131000 is an abundant number, since it is smaller than the sum of its proper divisors (81280749840840).

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

30033013131000 is a wasteful number, since it uses less digits than its factorization.

30033013131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572064 (or 1572047 counting only the distinct ones).

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

Adding to 30033013131000 its reverse (13131033003), we get a palindrome (30046144164003).

The spelling of 30033013131000 in words is "thirty trillion, thirty-three billion, thirteen million, one hundred thirty-one thousand".