101211313005 has 48 divisors (see below), whose sum is σ = 192224695104. Its totient is φ = 48855920640.

The previous prime is 101211313003. The next prime is 101211313013. The reversal of 101211313005 is 500313112101.

It is not a de Polignac number, because 101211313005 - 2¹ = 101211313003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211313003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338004 + ... + 562733.

It is an arithmetic number, because the mean of its divisors is an integer number (4004681148).

Almost surely, 2^101211313005 is an apocalyptic number.

101211313005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101211313005 is a deficient number, since it is larger than the sum of its proper divisors (91013382099).

101211313005 is a wasteful number, since it uses less digits than its factorization.

101211313005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900986 (or 900983 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 101211313005 its reverse (500313112101), we get a palindrome (601524425106).

The spelling of 101211313005 in words is "one hundred one billion, two hundred eleven million, three hundred thirteen thousand, five".