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131133001330 = 2541897312989
BaseRepresentation
bin111101000100000100…
…0101100111001110010
3110112110212212200021001
41322020020230321302
54122030022020310
6140124111152214
712321412056142
oct1721010547162
9415425780231
10131133001330
1150682184871
12214b821566a
13c49a83b616
1464bdb58922
15362756793a
hex1e8822ce72

131133001330 has 16 divisors (see below), whose sum is σ = 236045790360. Its totient is φ = 52451780992.

The previous prime is 131133001291. The next prime is 131133001333. The reversal of 131133001330 is 33100331131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 121160382561 + 9972618769 = 348081^2 + 99863^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131133001298 and 131133001307.

It is not an unprimeable number, because it can be changed into a prime (131133001333) 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 7 ways as a sum of consecutive naturals, for example, 262476 + ... + 575464.

Almost surely, 2131133001330 is an apocalyptic number.

131133001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131133001330 is a deficient number, since it is larger than the sum of its proper divisors (104912789030).

131133001330 is a wasteful number, since it uses less digits than its factorization.

131133001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354893.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 131133001330 its reverse (33100331131), we get a palindrome (164233332461).

The spelling of 131133001330 in words is "one hundred thirty-one billion, one hundred thirty-three million, one thousand, three hundred thirty".

Divisors: 1 2 5 10 41897 83794 209485 312989 418970 625978 1564945 3129890 13113300133 26226600266 65566500665 131133001330