10213101133011 has 48 divisors (see below), whose sum is σ = 17890534044864. Its totient is φ = 5480740841472.

The previous prime is 10213101132979. The next prime is 10213101133013. The reversal of 10213101133011 is 11033110131201.

10213101133011 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 310 + 11 + 330 + 11 = 666.

It is not a de Polignac number, because 10213101133011 - 2⁵ = 10213101132979 is a prime.

It is a super-2 number, since 2×10213101133011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10213101133013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9943860 + ... + 10922753.

It is an arithmetic number, because the mean of its divisors is an integer number (372719459268).

Almost surely, 2^{10213101133011} is an apocalyptic number.

10213101133011 is a deficient number, since it is larger than the sum of its proper divisors (7677432911853).

10213101133011 is a wasteful number, since it uses less digits than its factorization.

10213101133011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20867100 (or 20867097 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10213101133011 its reverse (11033110131201), we get a palindrome (21246211264212).

The spelling of 10213101133011 in words is "ten trillion, two hundred thirteen billion, one hundred one million, one hundred thirty-three thousand, eleven".