101311120005 has 16 divisors (see below), whose sum is σ = 162108147264. Its totient is φ = 54029145600.

The previous prime is 101311120003. The next prime is 101311120087. The reversal of 101311120005 is 500021113101.

It is not a de Polignac number, because 101311120005 - 2¹ = 101311120003 is a prime.

It is a super-2 number, since 2×101311120005² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36405 + ... + 451605.

It is an arithmetic number, because the mean of its divisors is an integer number (10131759204).

Almost surely, 2^101311120005 is an apocalyptic number.

101311120005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101311120005 is a deficient number, since it is larger than the sum of its proper divisors (60797027259).

101311120005 is a wasteful number, since it uses less digits than its factorization.

101311120005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431476.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 101311120005 its reverse (500021113101), we get a palindrome (601332233106).

The spelling of 101311120005 in words is "one hundred one billion, three hundred eleven million, one hundred twenty thousand, five".