101311123213000 has 32 divisors (see below), whose sum is σ = 237068028320760. Its totient is φ = 40524449284800.

The previous prime is 101311123212931. The next prime is 101311123213031. The reversal of 101311123213000 is 312321113101.

101311123213000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33981647866884 + 67329475346116 = 5829378^2 + 8205454^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50655560607 + ... + 50655562606.

Almost surely, 2^{101311123213000} is an apocalyptic number.

101311123213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311123213000 is an abundant number, since it is smaller than the sum of its proper divisors (135756905107760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101311123213000 is a wasteful number, since it uses less digits than its factorization.

101311123213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101311123234 (or 101311123220 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101311123213000 its reverse (312321113101), we get a palindrome (101623444326101).

The spelling of 101311123213000 in words is "one hundred one trillion, three hundred eleven billion, one hundred twenty-three million, two hundred thirteen thousand".