1010113313211 has 40 divisors (see below), whose sum is σ = 1561238403120. Its totient is φ = 650074807872.

The previous prime is 1010113313173. The next prime is 1010113313263. The reversal of 1010113313211 is 1123133110101.

1010113313211 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 11 + 331 + 321 + 1 = 666.

It is not a de Polignac number, because 1010113313211 - 2¹⁵ = 1010113280443 is a prime.

It is a super-2 number, since 2×1010113313211² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010113313311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14710420 + ... + 14778926.

It is an arithmetic number, because the mean of its divisors is an integer number (39030960078).

Almost surely, 2^{1010113313211} is an apocalyptic number.

1010113313211 is a deficient number, since it is larger than the sum of its proper divisors (551125089909).

1010113313211 is an equidigital number, since it uses as much as digits as its factorization.

1010113313211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74825 (or 74816 counting only the distinct ones).

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

Adding to 1010113313211 its reverse (1123133110101), we get a palindrome (2133246423312).

The spelling of 1010113313211 in words is "one trillion, ten billion, one hundred thirteen million, three hundred thirteen thousand, two hundred eleven".