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13131348401 = 75117485151
BaseRepresentation
bin11000011101011000…
…00111100110110001
31020220010221121121002
430032230013212301
5203343111122101
610011002211345
7643256422403
oct141654074661
936803847532
1013131348401
115629338456
1226657b3b55
131313670152
148c7d9ab73
1551cc49d6b
hex30eb079b1

13131348401 has 4 divisors (see below), whose sum is σ = 13148834304. Its totient is φ = 13113862500.

The previous prime is 13131348389. The next prime is 13131348407. The reversal of 13131348401 is 10484313131.

13131348401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13131348401 - 210 = 13131347377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131348407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8741825 + ... + 8743326.

It is an arithmetic number, because the mean of its divisors is an integer number (3287208576).

Almost surely, 213131348401 is an apocalyptic number.

It is an amenable number.

13131348401 is a deficient number, since it is larger than the sum of its proper divisors (17485903).

13131348401 is an equidigital number, since it uses as much as digits as its factorization.

13131348401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17485902.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 13131348401 in words is "thirteen billion, one hundred thirty-one million, three hundred forty-eight thousand, four hundred one".

Divisors: 1 751 17485151 13131348401