101313432401211 has 16 divisors (see below), whose sum is σ = 150244519578400. Its totient is φ = 67474542724704.

The previous prime is 101313432401147. The next prime is 101313432401239. The reversal of 101313432401211 is 112104234313101.

101313432401211 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 3 + 43 + 2 + 401 + 211 = 666.

It is not a de Polignac number, because 101313432401211 - 2⁶ = 101313432401147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101313432441211) 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, 1881793216 + ... + 1881847053.

It is an arithmetic number, because the mean of its divisors is an integer number (9390282473650).

Almost surely, 2^{101313432401211} is an apocalyptic number.

101313432401211 is a deficient number, since it is larger than the sum of its proper divisors (48931087177189).

101313432401211 is an equidigital number, since it uses as much as digits as its factorization.

101313432401211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763641275 (or 3763641269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 101313432401211 its reverse (112104234313101), we get a palindrome (213417666714312).

The spelling of 101313432401211 in words is "one hundred one trillion, three hundred thirteen billion, four hundred thirty-two million, four hundred one thousand, two hundred eleven".