11000121304431 has 48 divisors (see below), whose sum is σ = 17700311916000. Its totient is φ = 6051641847552.

The previous prime is 11000121304409. The next prime is 11000121304441. The reversal of 11000121304431 is 13440312100011.

It is not a de Polignac number, because 11000121304431 - 2⁷ = 11000121304303 is a prime.

It is a super-2 number, since 2×11000121304431² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11000121304398 and 11000121304407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000121304441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2209020 + ... + 5184593.

It is an arithmetic number, because the mean of its divisors is an integer number (368756498250).

Almost surely, 2^{11000121304431} is an apocalyptic number.

11000121304431 is a deficient number, since it is larger than the sum of its proper divisors (6700190611569).

11000121304431 is a wasteful number, since it uses less digits than its factorization.

11000121304431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394008 (or 7394001 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11000121304431 its reverse (13440312100011), we get a palindrome (24440433404442).

The spelling of 11000121304431 in words is "eleven trillion, one hundred twenty-one million, three hundred four thousand, four hundred thirty-one".