1013034432300 has 576 divisors, whose sum is σ = 3440806440960. Its totient is φ = 227525760000.

The previous prime is 1013034432247. The next prime is 1013034432313. The reversal of 1013034432300 is 32344303101.

It is a super-2 number, since 2×1013034432300² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 634335102 + ... + 634336698.

Almost surely, 2^{1013034432300} is an apocalyptic number.

1013034432300 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 1013034432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720403220480).

1013034432300 is an abundant number, since it is smaller than the sum of its proper divisors (2427772008660).

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

1013034432300 is a wasteful number, since it uses less digits than its factorization.

1013034432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1013034432300 its reverse (32344303101), we get a palindrome (1045378735401).

The spelling of 1013034432300 in words is "one trillion, thirteen billion, thirty-four million, four hundred thirty-two thousand, three hundred".