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13213213200031 = 131318636989833
BaseRepresentation
bin1100000001000111000011…
…1000010000111010011111
31201210011121112202022200211
43000101300320100322133
53212441130034400111
644034022155233251
72532423512035435
oct300216070207237
951704545668624
1013213213200031
114234768424719
121594986448827
1374b0015a5840
14339746cccd55
1517da8cb23521
hexc0470e10e9f

13213213200031 has 16 divisors (see below), whose sum is σ = 14338562847840. Its totient is φ = 12103431874560.

The previous prime is 13213213199993. The next prime is 13213213200041. The reversal of 13213213200031 is 13000231231231.

It is not a de Polignac number, because 13213213200031 - 213 = 13213213191839 is a prime.

It is a super-2 number, since 2×132132132000312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13213213199975 and 13213213200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213213200041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147041491 + ... + 147131323.

It is an arithmetic number, because the mean of its divisors is an integer number (896160177990).

Almost surely, 213213213200031 is an apocalyptic number.

13213213200031 is a deficient number, since it is larger than the sum of its proper divisors (1125349647809).

13213213200031 is a wasteful number, since it uses less digits than its factorization.

13213213200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176346.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13213213200031 its reverse (13000231231231), we get a palindrome (26213444431262).

The spelling of 13213213200031 in words is "thirteen trillion, two hundred thirteen billion, two hundred thirteen million, two hundred thousand, thirty-one".

Divisors: 1 13 131 1703 86369 89833 1122797 1167829 11314339 11768123 147086407 152985599 7758786377 100864222901 1016401015387 13213213200031