10100540305331 has 48 divisors (see below), whose sum is σ = 11968367943168. Its totient is φ = 8497585958400.

The previous prime is 10100540305321. The next prime is 10100540305411. The reversal of 10100540305331 is 13350304500101.

It is not a de Polignac number, because 10100540305331 - 2²⁶ = 10100473196467 is a prime.

It is a super-2 number, since 2×10100540305331² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100540305331.

It is not an unprimeable number, because it can be changed into a prime (10100540305301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789653546 + ... + 789666336.

It is an arithmetic number, because the mean of its divisors is an integer number (249340998816).

Almost surely, 2^{10100540305331} is an apocalyptic number.

10100540305331 is a deficient number, since it is larger than the sum of its proper divisors (1867827637837).

10100540305331 is a wasteful number, since it uses less digits than its factorization.

10100540305331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13872 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 10100540305331 its reverse (13350304500101), we get a palindrome (23450844805432).

The spelling of 10100540305331 in words is "ten trillion, one hundred billion, five hundred forty million, three hundred five thousand, three hundred thirty-one".