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13131213004 = 22713271313297
BaseRepresentation
bin11000011101010111…
…00110100011001100
31020220010200201212101
430032223212203030
5203343042304004
610010555244444
7643255316560
oct141653464314
936803621771
1013131213004
115629255758
122665749724
131313623630
148c7d636a0
1551cc1eba4
hex30eae68cc

13131213004 has 48 divisors (see below), whose sum is σ = 28295165248. Its totient is φ = 5192460288.

The previous prime is 13131212999. The next prime is 13131213031. The reversal of 13131213004 is 40031213131.

13131213004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 980884 + ... + 994180.

Almost surely, 213131213004 is an apocalyptic number.

13131213004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13131213004 is an abundant number, since it is smaller than the sum of its proper divisors (15163952244).

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

13131213004 is a wasteful number, since it uses less digits than its factorization.

13131213004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16034 (or 16032 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13131213004 its reverse (40031213131), we get a palindrome (53162426135).

The spelling of 13131213004 in words is "thirteen billion, one hundred thirty-one million, two hundred thirteen thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 2713 5426 10852 13297 18991 26594 35269 37982 53188 70538 75964 93079 141076 172861 186158 246883 345722 372316 493766 691444 987532 1210027 2420054 4840108 36074761 72149522 144299044 252523327 468971893 505046654 937943786 1010093308 1875887572 3282803251 6565606502 13131213004