103310001022032 has 240 divisors, whose sum is σ = 331954842419200. Its totient is φ = 29380788073728.

The previous prime is 103310001021973. The next prime is 103310001022097. The reversal of 103310001022032 is 230220100013301.

103310001022032 is a `hidden beast` number, since 103 + 310 + 0 + 0 + 1 + 0 + 220 + 32 = 666.

It is a super-6 number, since 6×103310001022032⁶ (a number of 85 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103310001021996 and 103310001022014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1916706219 + ... + 1916760117.

Almost surely, 2^{103310001022032} is an apocalyptic number.

103310001022032 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 103310001022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165977421209600).

103310001022032 is an abundant number, since it is smaller than the sum of its proper divisors (228644841397168).

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

103310001022032 is a wasteful number, since it uses less digits than its factorization.

103310001022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62670 (or 62661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103310001022032 its reverse (230220100013301), we get a palindrome (333530101035333).

The spelling of 103310001022032 in words is "one hundred three trillion, three hundred ten billion, one million, twenty-two thousand, thirty-two".