100401350333 has 16 divisors (see below), whose sum is σ = 103965157296. Its totient is φ = 96885227520.

The previous prime is 100401350317. The next prime is 100401350359. The reversal of 100401350333 is 333053104001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5563220569 + 94838129764 = 74587^2 + 307958^2 .

It is a cyclic number.

It is not a de Polignac number, because 100401350333 - 2⁴ = 100401350317 is a prime.

It is a super-2 number, since 2×100401350333² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100401350299 and 100401350308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100401350383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2477885 + ... + 2518077.

It is an arithmetic number, because the mean of its divisors is an integer number (6497822331).

Almost surely, 2^100401350333 is an apocalyptic number.

It is an amenable number.

100401350333 is a deficient number, since it is larger than the sum of its proper divisors (3563806963).

100401350333 is a wasteful number, since it uses less digits than its factorization.

100401350333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40784.

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 100401350333 its reverse (333053104001), we get a palindrome (433454454334).

The spelling of 100401350333 in words is "one hundred billion, four hundred one million, three hundred fifty thousand, three hundred thirty-three".