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101321212021131 = 3163701992951621
BaseRepresentation
bin10111000010011010101110…
…110110011100100110001011
3111021202012202110211022012010
4113002122232312130212023
5101240021320234134011
6555254153333351003
730225134042054064
oct2702325666344613
9437665673738163
10101321212021131
112a3140a2824843
12b444890a98463
13446c71aa5ac7b
141b03d8962156b
15baa8e5a731a6
hex5c26aed9c98b

101321212021131 has 16 divisors (see below), whose sum is σ = 135925735046400. Its totient is φ = 67132093926240.

The previous prime is 101321212021109. The next prime is 101321212021147. The reversal of 101321212021131 is 131120212123101.

It is not a de Polignac number, because 101321212021131 - 213 = 101321212012939 is a prime.

It is a super-2 number, since 2×1013212120211312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101321212021098 and 101321212021107.

It is not an unprimeable number, because it can be changed into a prime (101321212021181) 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, 32851501 + ... + 35803121.

It is an arithmetic number, because the mean of its divisors is an integer number (8495358440400).

Almost surely, 2101321212021131 is an apocalyptic number.

101321212021131 is a deficient number, since it is larger than the sum of its proper divisors (34604523025269).

101321212021131 is a wasteful number, since it uses less digits than its factorization.

101321212021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021986.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101321212021131 its reverse (131120212123101), we get a palindrome (232441424144232).

The spelling of 101321212021131 in words is "one hundred one trillion, three hundred twenty-one billion, two hundred twelve million, twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 163 489 70199 210597 2951621 8854863 11442437 34327311 481114223 1443342669 207200842579 621602527737 33773737340377 101321212021131