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1331340496213 = 71364326218681
BaseRepresentation
bin10011010111111010000…
…100111100110101010101
311201021102102000121201011
4103113322010330311111
5133303041131334323
62455335343132221
7165120600333430
oct23277204746525
94637372017634
101331340496213
11473689002932
121960332a4071
1398711105b60
1448619a56817
152497058d20d
hex135fa13cd55

1331340496213 has 32 divisors (see below), whose sum is σ = 1641936506112. Its totient is φ = 1051207718400.

The previous prime is 1331340496207. The next prime is 1331340496249. The reversal of 1331340496213 is 3126940431331.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1331340496213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331340496273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153358233 + ... + 153366913.

It is an arithmetic number, because the mean of its divisors is an integer number (51310515816).

Almost surely, 21331340496213 is an apocalyptic number.

1331340496213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331340496213 is a deficient number, since it is larger than the sum of its proper divisors (310596009899).

1331340496213 is a wasteful number, since it uses less digits than its factorization.

1331340496213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11965.

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 1331340496213 in words is "one trillion, three hundred thirty-one billion, three hundred forty million, four hundred ninety-six thousand, two hundred thirteen".

Divisors: 1 7 13 91 643 2621 4501 8359 8681 18347 34073 58513 60767 112853 238511 789971 1685303 5581883 11797121 21908939 22752901 39073181 72564479 153362573 159270307 295787713 507951353 2070513991 14630115343 102410807401 190191499459 1331340496213