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101021313133 = 139977794253
BaseRepresentation
bin101111000010101010…
…1101110100001101101
3100122202100102102111001
41132011111232201231
53123342424010013
6114224125200301
710204254664546
oct1360525564155
9318670372431
10101021313133
113992a996844
12176b3a00091
1396ac29c940
144c649594cd
152963c2addd
hex178556e86d

101021313133 has 8 divisors (see below), whose sum is σ = 108901316888. Its totient is φ = 93156899904.

The previous prime is 101021313119. The next prime is 101021313137. The reversal of 101021313133 is 331313120101.

It can be written as a sum of positive squares in 4 ways, for example, as 28465426089 + 72555887044 = 168717^2 + 269362^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101021313133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101021313133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021313137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3884166 + ... + 3910087.

It is an arithmetic number, because the mean of its divisors is an integer number (13612664611).

Almost surely, 2101021313133 is an apocalyptic number.

101021313133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101021313133 is a deficient number, since it is larger than the sum of its proper divisors (7880003755).

101021313133 is an equidigital number, since it uses as much as digits as its factorization.

101021313133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795263.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101021313133 its reverse (331313120101), we get a palindrome (432334433234).

The spelling of 101021313133 in words is "one hundred one billion, twenty-one million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 13 997 12961 7794253 101325289 7770870241 101021313133