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1303101332013 = 313181223827809
BaseRepresentation
bin10010111101100110111…
…001000101101000101101
311121120112101001102221210
4102331212321011220231
5132322222420111023
62434345251545033
7163101031364565
oct22754671055055
94546471042853
101303101332013
114627078038a8
12190671bbb179
1395b6079a840
14470db40bda5
1523d6b333593
hex12f66e45a2d

1303101332013 has 32 divisors (see below), whose sum is σ = 1889896852480. Its totient is φ = 793900984320.

The previous prime is 1303101332011. The next prime is 1303101332021. The reversal of 1303101332013 is 3102331013031.

It is not a de Polignac number, because 1303101332013 - 21 = 1303101332011 is a prime.

It is a super-3 number, since 3×13031013320133 (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303101332011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160253 + ... + 1988061.

It is an arithmetic number, because the mean of its divisors is an integer number (59059276640).

Almost surely, 21303101332013 is an apocalyptic number.

1303101332013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1303101332013 is a deficient number, since it is larger than the sum of its proper divisors (586795520467).

1303101332013 is a wasteful number, since it uses less digits than its factorization.

1303101332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828229.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1303101332013 its reverse (3102331013031), we get a palindrome (4405432345044).

The spelling of 1303101332013 in words is "one trillion, three hundred three billion, one hundred one million, three hundred thirty-two thousand, thirteen".

Divisors: 1 3 13 39 181 223 543 669 2353 2899 7059 8697 40363 121089 524719 827809 1574157 2483427 10761517 32284551 149833429 184601407 449500287 553804221 1947834577 2399818291 5843503731 7199454873 33412854667 100238564001 434367110671 1303101332013