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13132131100 = 225211172101409
BaseRepresentation
bin11000011101011110…
…00110101100011100
31020220012102101020221
430032233012230130
5203343311143400
610011031051124
7643266162334
oct141657065434
936805371227
1013132131100
115629822510
122665b10aa4
13131388549a
148c81220c4
1551cd51c1a
hex30ebc6b1c

13132131100 has 216 divisors, whose sum is σ = 33432078960. Its totient is φ = 4439040000.

The previous prime is 13132131097. The next prime is 13132131149. The reversal of 13132131100 is 113123131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32107696 + ... + 32108104.

Almost surely, 213132131100 is an apocalyptic number.

13132131100 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 13132131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16716039480).

13132131100 is an abundant number, since it is smaller than the sum of its proper divisors (20299947860).

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

13132131100 is a wasteful number, since it uses less digits than its factorization.

13132131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13132131100 its reverse (113123131), we get a palindrome (13245254231).

The spelling of 13132131100 in words is "thirteen billion, one hundred thirty-two million, one hundred thirty-one thousand, one hundred".