1211141313101 has 8 divisors (see below), whose sum is σ = 1284348767544. Its totient is φ = 1138152064000.

The previous prime is 1211141313091. The next prime is 1211141313113. The reversal of 1211141313101 is 1013131411121.

It can be written as a sum of positive squares in 4 ways, for example, as 536688108100 + 674453205001 = 732590^2 + 821251^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1211141313101 - 2²⁶ = 1211074204237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211141313131) 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 7 ways as a sum of consecutive naturals, for example, 54539900 + ... + 54562101.

It is an arithmetic number, because the mean of its divisors is an integer number (160543595943).

Almost surely, 2^{1211141313101} is an apocalyptic number.

It is an amenable number.

1211141313101 is a deficient number, since it is larger than the sum of its proper divisors (73207454443).

1211141313101 is a wasteful number, since it uses less digits than its factorization.

1211141313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109102671.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 1211141313101 its reverse (1013131411121), we get a palindrome (2224272724222).

The spelling of 1211141313101 in words is "one trillion, two hundred eleven billion, one hundred forty-one million, three hundred thirteen thousand, one hundred one".