103013041030032 has 160 divisors (see below), whose sum is σ = 305511210031104. Its totient is φ = 29299121280000.

The previous prime is 103013041029971. The next prime is 103013041030121. The reversal of 103013041030032 is 230030140310301.

It is a super-2 number, since 2×103013041030032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103013041029990 and 103013041030008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155437932 + ... + 156099252.

Almost surely, 2^{103013041030032} is an apocalyptic number.

103013041030032 is a gapful number since it is divisible by the number (12) 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 103013041030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755605015552).

103013041030032 is an abundant number, since it is smaller than the sum of its proper divisors (202498169001072).

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

103013041030032 is a wasteful number, since it uses less digits than its factorization.

103013041030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663437 (or 663431 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103013041030032 its reverse (230030140310301), we get a palindrome (333043181340333).

The spelling of 103013041030032 in words is "one hundred three trillion, thirteen billion, forty-one million, thirty thousand, thirty-two".