10211221313131 has 16 divisors (see below), whose sum is σ = 10949109949440. Its totient is φ = 9488588503680.

The previous prime is 10211221313119. The next prime is 10211221313143. The reversal of 10211221313131 is 13131312211201.

It is an interprime number because it is at equal distance from previous prime (10211221313119) and next prime (10211221313143).

It is a cyclic number.

It is not a de Polignac number, because 10211221313131 - 2⁵ = 10211221313099 is a prime.

It is a super-2 number, since 2×10211221313131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211221353131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45834250 + ... + 46056496.

It is an arithmetic number, because the mean of its divisors is an integer number (684319371840).

Almost surely, 2^{10211221313131} is an apocalyptic number.

10211221313131 is a deficient number, since it is larger than the sum of its proper divisors (737888636309).

10211221313131 is a wasteful number, since it uses less digits than its factorization.

10211221313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256554.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 10211221313131 its reverse (13131312211201), we get a palindrome (23342533524332).

The spelling of 10211221313131 in words is "ten trillion, two hundred eleven billion, two hundred twenty-one million, three hundred thirteen thousand, one hundred thirty-one".