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13032132021233 = 1317455331295081
BaseRepresentation
bin1011110110100100011110…
…0110011000101111110001
31201010212012200120022221222
42331221013212120233301
53202004301244134413
643414513453154425
72513353244311523
oct275510746305761
951125180508858
1013032132021233
114174994862946
12156586a78ba15
13736c03970330
14330a89693a13
15178ee0550b08
hexbda47998bf1

13032132021233 has 16 divisors (see below), whose sum is σ = 14860506474576. Its totient is φ = 11321775851520.

The previous prime is 13032132021197. The next prime is 13032132021239. The reversal of 13032132021233 is 33212023123031.

It can be written as a sum of positive squares in 8 ways, for example, as 822090382864 + 12210041638369 = 906692^2 + 3494287^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032132021233 - 28 = 13032132020977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13032132021239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9415253 + ... + 10710333.

It is an arithmetic number, because the mean of its divisors is an integer number (928781654661).

Almost surely, 213032132021233 is an apocalyptic number.

13032132021233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13032132021233 is a deficient number, since it is larger than the sum of its proper divisors (1828374453343).

13032132021233 is a wasteful number, since it uses less digits than its factorization.

13032132021233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340644.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13032132021233 its reverse (33212023123031), we get a palindrome (46244155144264).

The spelling of 13032132021233 in words is "thirteen trillion, thirty-two billion, one hundred thirty-two million, twenty-one thousand, two hundred thirty-three".

Divisors: 1 13 17 221 45533 591929 774061 1295081 10062793 16836053 22016377 286212901 58968923173 766596001249 1002471693941 13032132021233