103313332201032 has 24 divisors (see below), whose sum is σ = 279806941377990. Its totient is φ = 34437777400320.

The previous prime is 103313332201021. The next prime is 103313332201067. The reversal of 103313332201032 is 230102233313301.

103313332201032 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 333 + 220 + 103 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102295949309316 + 1017382891716 = 10114146^2 + 1008654^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×103313332201032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103313332200987 and 103313332201005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 717453695769 + ... + 717453695912.

Almost surely, 2^{103313332201032} is an apocalyptic number.

103313332201032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103313332201032 is an abundant number, since it is smaller than the sum of its proper divisors (176493609176958).

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

103313332201032 is a wasteful number, since it uses less digits than its factorization.

103313332201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434907391693 (or 1434907391686 counting only the distinct ones).

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

Adding to 103313332201032 its reverse (230102233313301), we get a palindrome (333415565514333).

The spelling of 103313332201032 in words is "one hundred three trillion, three hundred thirteen billion, three hundred thirty-two million, two hundred one thousand, thirty-two".