103013493232728 has 256 divisors, whose sum is σ = 294894940032000. Its totient is φ = 29706435624960.

The previous prime is 103013493232709. The next prime is 103013493232777. The reversal of 103013493232728 is 827232394310301.

It is a super-2 number, since 2×103013493232728² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3764961768 + ... + 3764989128.

It is an arithmetic number, because the mean of its divisors is an integer number (1151933359500).

Almost surely, 2^{103013493232728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103013493232728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147447470016000).

103013493232728 is an abundant number, since it is smaller than the sum of its proper divisors (191881446799272).

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

103013493232728 is a wasteful number, since it uses less digits than its factorization.

103013493232728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30362 (or 30358 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 103013493232728 in words is "one hundred three trillion, thirteen billion, four hundred ninety-three million, two hundred thirty-two thousand, seven hundred twenty-eight".