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13031300100 = 223527213193797
BaseRepresentation
bin11000010001011100…
…11101110000000100
31020122011200122010110
430020232131300010
5203142003100400
65553025553020
7640633136400
oct141056356004
936564618113
1013031300100
115587913705
1226381a5770
1312c8a10680
148b8996100
15514085e50
hex308b9dc04

13031300100 has 864 divisors, whose sum is σ = 51589614720. Its totient is φ = 2508226560.

The previous prime is 13031300099. The next prime is 13031300221. The reversal of 13031300100 is 100313031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 134343252 + ... + 134343348.

Almost surely, 213031300100 is an apocalyptic number.

13031300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25794807360).

13031300100 is an abundant number, since it is smaller than the sum of its proper divisors (38558314620).

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

13031300100 is a wasteful number, since it uses less digits than its factorization.

13031300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13031300100 its reverse (100313031), we get a palindrome (13131613131).

The spelling of 13031300100 in words is "thirteen billion, thirty-one million, three hundred thousand, one hundred".