101401311 has 16 divisors (see below), whose sum is σ = 156169728. Its totient is φ = 57840000.

The previous prime is 101401303. The next prime is 101401357. The reversal of 101401311 is 113104101.

It is not a de Polignac number, because 101401311 - 2³ = 101401303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101401301) 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, 89815 + ... + 90936.

It is an arithmetic number, because the mean of its divisors is an integer number (9760608).

Almost surely, 2^101401311 is an apocalyptic number.

101401311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101401311 is a deficient number, since it is larger than the sum of its proper divisors (54768417).

101401311 is a wasteful number, since it uses less digits than its factorization.

101401311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180782.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101401311 is about 10069.8217958413. The cubic root of 101401311 is about 466.3169373478.

Adding to 101401311 its reverse (113104101), we get a palindrome (214505412).

The spelling of 101401311 in words is "one hundred one million, four hundred one thousand, three hundred eleven".