103020133313232 has 30 divisors (see below), whose sum is σ = 288313289758962. Its totient is φ = 34340044437696.

The previous prime is 103020133313183. The next prime is 103020133313239. The reversal of 103020133313232 is 232313331020301.

103020133313232 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 0 + 1 + 3 + 331 + 323 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103016085299856 + 4048013376 = 10149684^2 + 63624^2 .

It is a super-2 number, since 2×103020133313232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103020133313196 and 103020133313205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020133313239) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 357708796083 + ... + 357708796370.

Almost surely, 2^{103020133313232} is an apocalyptic number.

103020133313232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103020133313232 is an abundant number, since it is smaller than the sum of its proper divisors (185293156445730).

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

103020133313232 is a wasteful number, since it uses less digits than its factorization.

103020133313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715417592467 (or 715417592458 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103020133313232 its reverse (232313331020301), we get a palindrome (335333464333533).

The spelling of 103020133313232 in words is "one hundred three trillion, twenty billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred thirty-two".