21133003131031 has 16 divisors (see below), whose sum is σ = 23065098190848. Its totient is φ = 19202728708800.

The previous prime is 21133003131011. The next prime is 21133003131067. The reversal of 21133003131031 is 13013130033112.

It is a cyclic number.

It is not a de Polignac number, because 21133003131031 - 2³⁷ = 20995564177559 is a prime.

It is a super-2 number, since 2×21133003131031² (a number of 27 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 = 21133003130993 and 21133003131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133003131011) 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 15 ways as a sum of consecutive naturals, for example, 266028540 + ... + 266107966.

It is an arithmetic number, because the mean of its divisors is an integer number (1441568636928).

Almost surely, 2^{21133003131031} is an apocalyptic number.

21133003131031 is a deficient number, since it is larger than the sum of its proper divisors (1932095059817).

21133003131031 is a wasteful number, since it uses less digits than its factorization.

21133003131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90582.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 21133003131031 its reverse (13013130033112), we get a palindrome (34146133164143).

The spelling of 21133003131031 in words is "twenty-one trillion, one hundred thirty-three billion, three million, one hundred thirty-one thousand, thirty-one".