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13133100202131 = 3713190725226321
BaseRepresentation
bin1011111100011100100111…
…0001011011100010010011
31201111111211100000100201110
42333013021301123202103
53210133042122432011
643533132443504403
72523556315555050
oct277071161334223
951444740010643
1013133100202131
114203797759648
121581348828103
137435a4c28c80
1433590713c027
1517b94e783ba6
hexbf1c9c5b893

13133100202131 has 32 divisors (see below), whose sum is σ = 21563056424448. Its totient is φ = 6923716692480.

The previous prime is 13133100202129. The next prime is 13133100202141. The reversal of 13133100202131 is 13120200133131.

It is a happy number.

It is not a de Polignac number, because 13133100202131 - 21 = 13133100202129 is a prime.

It is a super-2 number, since 2×131331002021312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13133100202098 and 13133100202107.

It is not an unprimeable number, because it can be changed into a prime (13133100202141) 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, 12092550 + ... + 13133771.

It is an arithmetic number, because the mean of its divisors is an integer number (673845513264).

Almost surely, 213133100202131 is an apocalyptic number.

13133100202131 is a deficient number, since it is larger than the sum of its proper divisors (8429956222317).

13133100202131 is a wasteful number, since it uses less digits than its factorization.

13133100202131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25228251.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13133100202131 its reverse (13120200133131), we get a palindrome (26253300335262).

The spelling of 13133100202131 in words is "thirteen trillion, one hundred thirty-three billion, one hundred million, two hundred two thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 1907 5721 13349 24791 40047 74373 173537 520611 25226321 75678963 176584247 327942173 529752741 983826519 2295595211 6886785633 48106594147 144319782441 336746159029 625385723911 1010238477087 1876157171733 4377700067377 13133100202131